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.
This cannot be done for a single number. To find a common factor you must have two or more numbers.
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.
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
Factorising by grouping involves rearranging and grouping terms in a polynomial to factor out common factors. First, you split the polynomial into two groups, then factor out the greatest common factor from each group. If done correctly, these groups will have a common binomial factor, which can then be factored out, resulting in a simplified expression. This method is particularly useful for polynomials with four terms.
The greatest common factor of 22 and 66 can be done in a split second. I am assuming the person who asked this question knew that 2 x 3 = 6. Multiplication works in your favor. When doing 22 x 3, You do 2x 3, and then 2x 3 again, thus getting 66. The answer is therefore 22.
To divide the numerator and the denominator of a ratio by the same factor means to simplify or reduce the ratio. This is done by dividing both numbers in the ratio by their greatest common factor, which results in an equivalent ratio.
well 18: 2 times 3 times 3 and 63: 3 times 3 times 7 and 117:3 times 3 times 13 the number tat ocurs the most is :3 and 3 so u multiply 3 times 3 = 9 so the GCD IS 9! hope this helps and byee done by: Paven Samrai
To factor 4x + 12y, you first need to find the greatest common factor of the coefficients 4 and 12, which is 4. Then, you factor out the common factor from the terms: 4(x + 3y). This is the factored form of 4x + 12y.
Take the number 9 and figure out what whole numbers you could multiply together to get that answer. Exclude the numbers and 9. Now take the number 12 and figure out what whole numbers you could multiply to get it. Exclude 1 and 12.When you're all done, look at them to see what number they have in common. That will be your common factor!
Oh, dude, it's like super easy. So, you can factor out the greatest common factor, which in this case is 3. So, you get 3(2y + 3). And that's it, you're done! Math problem solved, like, no big deal.
Divide both sides of the ratio by any common factor until the only common factor is 3; this can be done in one step by dividing both sides by the highest common factor of the sides. For 21:15 the highest common factor is 3, so divide both sides by 3. Thus: It would simplify to 7:5
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.