Best Answer

I am asssuming that the numbers are too large for you to simply see them and "know" their GCF.

The easiest way to find the GCF of 2 numbers is the Euclidean method. It is somewhat awkward to explain but once understood, is very easy to use. The idea here is to make the numbers that you are dealing with smaller and smaller so as to simplify the problem.

Suppose you start with the two numbers p and q where p > q. Assume that they are not equal for if p = q, then their GCF is p (or q). The GCF of p and q is the same as the GCF of the smaller number, (say q), and p-q. Repeat this process and keep going until the two numbers are the same.

So, for example, ket us try to find the GCF of 1836 and 1428

GCF(1836, 1428)] = GCF(1428, 1836-1428)

= GCF(1428, 408) = GCF(408, 1428-408)

= GCF(408, 1020) = GCF(408, 1020-408)

= GCF(408, 612) = GCF(408, 612-408)

= GCF(408, 204) = GCF(204, 408-204)

= GCF(204, 204) The two numbers are the same so STOP!

The answer is 204.

It is not a particularly fast method, but it is simple: all you need to now is subtraction.

More answers

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

Q: What is the easiest way to find the GCF?

Write your answer...

Submit

Still have questions?

Continue Learning about Other Math

The easiest way to tackle this is to look solely at the factors of 6. These are 1, 2, 3 and 6. The next step is to divide 918 by each one in turn to find out what the largest one is which 918 can divide by. In this case, 918 can divide by 6 to give 153. Thus the GCF of 918 and 6 is 6.

The GCF is 5.

The GCF is xxzz.

The GCF is 4.

You need at least two terms to find a GCF.

Related questions

Many people find factor trees to be the easiest.

In Pokeman

The easiest way to find a wedding blog is to check the advertisements which occur alongside the websites and click on it and you will be redirected to the blog.

I factor because the problem I'm solving calls for it. It's the fastest and easiest way to solve for the GCF or LCM.

List them.

The easiest way is to find a geology book and look at the texture of each one.

Unfortunately, opening up as much wall as necessary is easiest way to find leak.

Find the GCF of the numerator and the denominator and divide them both by it. If the GCF is 1, the fraction is in its simplest form.

The easiest and cheapest way would be on a map

It is the easiest way to find oil deposits.

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.

Because people always want to find the easiest way to do something and the easiest way to do something is to create something to do it for you.