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Find the greatest common factor (or the greatest common divisor) of 1582 and 1678.
1. Prime factorization:
1582 = 2 x 7 x 113
1678 = 2 x 839
The GCF is 2.
Euclidean Algorithm:
1678 = 1 x 1582 + 96
1582 = 16 x 96 + 46
96 = 2 x 46 + 4
46 = 11 x 4 + 2
4 = 2 x 2 + 0
Since the remainder in the last equation is 0, then the greatest common divisor (or factor) is 2.
What else can I help you with?
How do you find the GCF by listing all the factors of each number?
Example: 30 and 42 1,2,3,5,6,10,15,30 1,2,3,6,7,14,21,42 The GCF is 6.
What is listing methods?
To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.
What is the definition of listing method?
To find the GCF or the LCM of a set of numbers, it is sometimes practical to write out lists of the factors or multiples as the case may be and compare them. This is known as the listing method.
How do you find the GCF of 5x?
By comparing it to another term.
What is the division ladder what is the GCF of 82?
The division ladder is a method used to find the greatest common factor (GCF) of two numbers by listing the factors of each number. To find the GCF of 82, you would start by factoring the number 82. The factors of 82 are 1, 2, 41, and 82. Therefore, the GCF of 82 is 1.
What is the GCF of 4x?
You need more than one term to find a GCF.
How can you find the GCF of a given set of numbers given their LCM but without listing the factors of the numbers?
By finding their common prime numbers.
What is the GCF of 4263?
The GCF of one number is itself. To find the GCF, more than one number is needed.
Method in finding the GCF?
listing method , factor tree
Can the gcf of 16 be less than 16 explain?
There is no GCF of 16. You need at least two numbers to find a GCF. The GCF of something and 16 could possibly be less than 16.
What is the GCF of 30 and 65?
The gcd or gcf is 5. We could find this by factoring. Another way is to list the factors and then find the biggest common one.
find the GCF of each set of number. 15 and 20 (by listing method)?
To find the greatest common factor (GCF) of 15 and 20 using the listing method, we first list the factors of each number. The factors of 15 are 1, 3, 5, and 15. The factors of 20 are 1, 2, 4, 5, 10, and 20. The common factor between both numbers is 5, so the GCF of 15 and 20 is 5.
