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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
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What is the greatest common divisor of the numbers 15 and 40?
To find the greatest common factor of two numbers, you first need to break them into their prime factors: 15 = 3x5 40 = 2x2x2x5 The next step is to identify any common factors. In this case, the only common factor is 5. Thus, the greatest common divisor of the numbers 15 and 40 is 5.
What is the gcf of 663 and 1547?
The first step in finding the greatest common factor is to break the numbers down into their prime factors: 663=3x13x17 1547=7x13x17 The next step is to identify any common factors. In this case, the common prime factors are 13 and 17. To find the greatest common factor we multiply these together: 13x17=221 So 221 is the GCF of 663 and 1547.
How do you solve two-step equations with fractions on one side?
Assuming you want to get rid of the fractions, you can multiply both sides of the equations by the greatest common factor of the fractions. Then you can solve the equation normally.
How do you figure what fraction 21 of 56 is?
Find a common factor of 21 and 56 and divide both by that factor to give two new numbers. If necessary, repeat the process with a common factor of these two numbers and so on. This looping can be done in one step if you can find the greatest common factor. So, for 21 and 56, the GCF = 7 So 21/56 = (21/7) / (56/7) = 3/8
Why is it easier to divide the numerator and denomenator by the gcf rather than any other number when simplifying a fraction?
It is preferable because this is the purpose, the ultimate aim, of simplification. You can only simplify to the extent that the greatest common factor will allow. You can do so in one step by finding the greatest common factor, or you can do so in multiple steps by first dividing by a lower factor (when you are finished you will see that all the lower factors multiply to give the gcf). Sometimes it is easier to do the task in multiple steps rather than searching for the gcf, but if you can identify the gcf then your simplification will be done in just one step.
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What are the common factors of 100 and 5030?
Get the greatest common factor first. For example, you might use Euclid's Algorithm - the first step is that the greatest common factor of 5030 and 100 is the same as the greatest common factor of 100 and 30 (where 30 is the remainder of the division of 5030 / 100). Once you get the greatest common factor, the common factors of the two numbers are simply all the factors of this greatest common factor.
What is the greatest common factor of 4000 and 1800?
The first step to working out the greatest common factor of 4,000 and 1,800 is to break these numbers down into their prime factors: 4000 = 2x2x2x2x2x5x5x5 1800 = 2x2x2x3x3x5x5 The next step is to identify any common factors. In this case, there are common prime factors of three 2s and two 5s. Multiply these together and you get 2x2x2x5x5 = 200 Thus the greatest common factor of 4,000 and 1,800 is 200.
What are the steps for greatest common factor?
Step 1 : Prime Factorise each number and write in index notation. Step 2 : Multiply the lowest power of each common factor of the given numbers
What is the greatest common factor of 72 and 91?
To find the greatest common factor of two numbers, you first need to factorise those numbers. In this case: 72=3x3x2x2x2 91=7x13 The next step would be to find any common factors. As there are none, this means that the greatest common factor of 72 and 91 is 1.
What is the greatest common factor of 41 and 76?
The first step would be to break the numbers down into their prime factors: 41 = 41 76 = 2x2x19 The next step would be to identify any common prime factors. In this case, there are none. Thus the greatest common factor of 41 and 76 is 1.
What is the Greatest Common Factor of 27 and 34?
To find the greatest common factor of 2 numbers, you first need to split them into their prime factors: 34 = 2x17 27 = 3x3x3 The next step would be to identify any common factors. In this case, there are no common prime factors. Thus, the greatest common factor of 34 and 27 is 1.
What is the greatest common factor of 7and 15?
To find the greatest common factor, you first need to break the numbers down into their prime factors. In this case: 7 = 7 15 = 3x5 The next step would be to identify any common prime factors. In this case, however, there are no common prime factors. Thus the only prime factor is 1. So the greatest common factor of 7 and 15 is 1.
What are the common factors and greatest common factor of 20 and 27?
To find the greatest common factor of two numbers, you first need to split them into their prime factors. In this case, 20 and 27 can be broken down as follows: 20 = 2x2x5 27 = 3x3x3 The next step would be to identify any common factors. In this case there are none. Thus the greatest common factor of 20 and 27 is 1.
What is the greatest common factor of 51 and 85?
The greatest number which divides both 51 and 85 is 17. So, greatest common factor is 17.Alternate method:P.F. of 51 = 3x17P.F. of 85 = 5x17Clearly, from the P.F. of both numbers 17 is the greatest common factor.The GCF is 17.51 and 85's highest common factor is 17.
What is the common greatest factor of 10 and 6?
The greatest common factor of 6 and 10 is 2.2 x 3 = 62 x 5 = 10Select the common factor, which is 2.The greatest common factor (GCF) is 2.Factors Of 6 are 2,3,6,1factors Of 10 are 2,5,10.1The GCF Is 2
What is the greatest factor of 45 and 60?
To find the GCF of two numbers, you first split them both into their prime factors. 45 = 3x3x5 60 = 2x2x3x5 The next step is to find the common prime factors. In this case, both numbers have one 3 as a factor, and both have one 5 as a factor. To get the greatest common factor, we find the product of these common prime factors: 5x3=15 Thus the greatest common factor of 45 and 60 is 15.
