Greatest Common Factor of 564/715, 3960/297

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 564/715, 3960/297

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 564/715,3960/297

Given fractions are 564/715,3960/297

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 564,3960

Greatest Common Factor of Numerators i.e. GCF of 564,3960 is 12 .

LCM of Denominators means LCM of 715,297 as per the given fractions.

LCM of 715,297 is 19305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 564,3960

GCF of Fractions 564/715,3960/297 is 12/19305

2 564, 3960
2 282, 1980
3 141, 990
47, 330

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 564,3960 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,3960 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 3960

List of positive integer factors of 3960 that divides 3960 without a remainder.

1,2,3,4,5,6,8,9,10,11,12,15,18,20,22,24,30,33,36,40,44,45,55,60,66,72,88,90,99,110,120,132,165,180,198,220,264,330,360,396,440,495,660,792,990,1320,1980,3960

Greatest Common Factor

We found the factors 564,3960 . The biggest common factor number is the GCF number.
So the greatest common factor 564,3960 is 12.

Lets's calculate LCM of 715,297

11 715, 297
65, 27

∴ So the LCM of the given numbers is 11 x 65 x 27 = 19305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/19305

Therefore, the GCF of Fractions 564/715,3960/297 is 12/19305

Least Common Multiple of 715,297 with GCF Formula

Least Common Multiple of 715,297 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 715,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,297) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(715,297) x common factors =11 x 1 = 11

LCM(715,297) = ( 715 × 297 ) / 11

LCM(715,297) = 212355 / 11

LCM(715,297) = 19305


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 564/715, 3960/297

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 564/715, 3960/297?

Answer: GCF of Numerators as per given numbers 564/715, 3960/297 is

GCF of Numerators i.e. for 564,3960 is 12

LCM of denominators i.e. for 715,297 is 19305.

Thus, GCF of Fractions is 12/19305.Finally, GCF of Fractions for 564/715, 3960/297 is 12/19305.