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What is the greatest common divisor of 3 and 2?
There is none. A common divisor is a number which can be used to divide your quantities with , and finish up with a Whole Number with both of them . EXAMPLE Take the numbers, 6 and 15 The only number which you can divide BOTH of them with, and get a whole number as an answer, is the number 3 This number is called the Common Divisor. Let me do it for you: 6 divided by 3 equals 2. And 15 divided by 3 is 5. How do you find out what the common divisor is ? Answer. Break both the numbers into all the prime number 'factors'. E.g. Factors of 6 are 3 x 2. Factors of 15 are 3 x 5. Now you use the factors which are contained in BOTH of them. They BOTH contain only the number 3 as their COMMON factor. This number 3 is the Common Divisor. Now you can see why (your question ) 3 and 8 do not have any common divisor because the factors of 8 equal 2 x 2 x 2 and the factors of 3 is only 3. They have NOTHING in common , so they have no common divisor. MORE: The number 1 is a comon divisor or common factor, but we ignore that because everyone knows that 1 is a common factor in every number you can think of.
What is the greatest common factor of 92 and 252?
92 = 4 X 23; 252 = 4 X 63; and 23 and 63 have no common divisor, other than 1. Therefore, 4 is the greatest common factor of 92 and 252; that is, gcd(92, 252) = 4. By the bye, should you happen to recognise that 23 is a prime number, and that 23 is not a divisor of 63: then, it will be immediately apparent that 23 and 63 have no common divisor, other than 1. In other words, 23 has no divisor other than 1 and itself and is thus what we call a 'prime number'.
What is the greatest common divisor of 24 and32?
The GCF of 12, 24, and 32 is 4 Prime factors of 12: 2 x 3 x 2 Prime factors of 24: 3 x 2 x 2 x 2 Prime factors of 32: 2 x 2 x 2 x 2 x 2 The common prime factors of all three numbers are 2 x 2. Therefore, the GCF of 12, 24 and 32 is 2 x 2 = 4
What is the greatest common factor of 228 and 418?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 228 and 418 is 38
What is the greatest common factor of 12 and 45?
The greatest common factor (GCF) is often also called the greatest common divisor (GCD) or highest common factor (HCF). Keep in mind that these different terms all refer to the same thing: the largest integer which evenly divides two or more numbers.The greatest common factor of 22 and 45 is 1
What is the greatest common divisor of 10 and 35?
12 = 2 x 5 35 = 5 x 7 the greatest common divisor is 5.
What is greatest common divisor of 60 and 126?
60 = 2^2 x 3 x 5 126 = 2 x 3^2 x 7 The greatest common divisor (or factor) is therefore 2 x 3 (as these are the numbers that appear in both prime factorisations) = 6
Greatest common divisor of 138 and 102?
138 = 2 X 3 X 23 and 102 = 2 X 3 X 17. 17 and 23 are both prime numbers; therefore, the greatest common divisor of the two specified numbers is 2 X 3 = 6.
What is the greatest common divisor of 22 and 23?
since 23 is a prime number, it only has 2 factors, 1 and itself, 23. 1 x 23 = 23 therefore, the greatest common divisor of 22 and 23 is 1.
Find the greatest common divisor 15xy55y?
Find the greatest common divisor 15xy55y? 15xy = (3)(5)(x)(y) & 55 y = (5)(11)(y). The common factors are 5 & y. Hence 5y = gcf of 15xy & 55y.
How do you get the greatest common divisor of 39 and 26?
Factor them. 2 x 13 = 26 3 x 13 = 39 Select the common factor. The GCF is 13.
What is the greatest common multiple of 4 5 and 3?
There is NO greatest common multiple. Suppose x is the greatest common multiple. Then, it is easy to show that 2x will be a common multiple and 2x > x so x cannot be the greatest.
What is the greatest common divisor of 3 and 2?
There is none. A common divisor is a number which can be used to divide your quantities with , and finish up with a Whole Number with both of them . EXAMPLE Take the numbers, 6 and 15 The only number which you can divide BOTH of them with, and get a whole number as an answer, is the number 3 This number is called the Common Divisor. Let me do it for you: 6 divided by 3 equals 2. And 15 divided by 3 is 5. How do you find out what the common divisor is ? Answer. Break both the numbers into all the prime number 'factors'. E.g. Factors of 6 are 3 x 2. Factors of 15 are 3 x 5. Now you use the factors which are contained in BOTH of them. They BOTH contain only the number 3 as their COMMON factor. This number 3 is the Common Divisor. Now you can see why (your question ) 3 and 8 do not have any common divisor because the factors of 8 equal 2 x 2 x 2 and the factors of 3 is only 3. They have NOTHING in common , so they have no common divisor. MORE: The number 1 is a comon divisor or common factor, but we ignore that because everyone knows that 1 is a common factor in every number you can think of.
What is another way to find GCF than listing them out?
Find the greatest common factor (or the greatest common divisor) of 1582 and 1678.1. Prime factorization:1582 = 2 x 7 x 1131678 = 2 x 839The GCF is 2.Euclidean Algorithm:1678 = 1 x 1582 + 961582 = 16 x 96 + 4696 = 2 x 46 + 446 = 11 x 4 + 24 = 2 x 2 + 0Since the remainder in the last equation is 0, then the greatest common divisor (or factor) is 2.
Greatest common divisor of 84 and 68?
Express each number in terms of its prime factors. 84 = 2 x 2 x 3 x 7 = 22 x 3 x 7 68 = 2 x 2 x 17 = 22 x 17. The highest common factor (divisor) of 84 and 68 is 22 = 4.
How do you get the greatest common divisor?
Example: 30 and 42 Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6, the GCF
What is the greatest common factor of 92 and 252?
92 = 4 X 23; 252 = 4 X 63; and 23 and 63 have no common divisor, other than 1. Therefore, 4 is the greatest common factor of 92 and 252; that is, gcd(92, 252) = 4. By the bye, should you happen to recognise that 23 is a prime number, and that 23 is not a divisor of 63: then, it will be immediately apparent that 23 and 63 have no common divisor, other than 1. In other words, 23 has no divisor other than 1 and itself and is thus what we call a 'prime number'.
