Greatest Common Factor of 7560/572, 7256/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7560/572, 7256/731

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 7560/572,7256/731

Given fractions are 7560/572,7256/731

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 7560,7256

Greatest Common Factor of Numerators i.e. GCF of 7560,7256 is 8 .

LCM of Denominators means LCM of 572,731 as per the given fractions.

LCM of 572,731 is 418132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7560,7256

GCF of Fractions 7560/572,7256/731 is 8/418132

2 7560, 7256
2 3780, 3628
2 1890, 1814
945, 907

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 7560,7256 By Matching Biggest Common Factor Method

Greatest Common Factor of 7560,7256 By Matching Biggest Common Factor Method

Factors of 7560

List of positive integer factors of 7560 that divides 7560 without a remainder.

1,2,3,4,5,6,7,8,9,10,12,14,15,18,20,21,24,27,28,30,35,36,40,42,45,54,56,60,63,70,72,84,90,105,108,120,126,135,140,168,180,189,210,216,252,270,280,315,360,378,420,504,540,630,756,840,945,1080,1260,1512,1890,2520,3780,7560

Factors of 7256

List of positive integer factors of 7256 that divides 7256 without a remainder.

1,2,4,8,907,1814,3628,7256

Greatest Common Factor

We found the factors 7560,7256 . The biggest common factor number is the GCF number.
So the greatest common factor 7560,7256 is 8.

Lets's calculate LCM of 572,731

Given numbers has no common factors except 1. So, there LCM is their product i.e 418132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/418132

Therefore, the GCF of Fractions 7560/572,7256/731 is 8/418132

Least Common Multiple of 572,731 with GCF Formula

Least Common Multiple of 572,731 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 572,731 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,731) = 1

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

GCF(572,731) x common factors =1 x 1 = 1

LCM(572,731) = ( 572 × 731 ) / 1

LCM(572,731) = 418132 / 1

LCM(572,731) = 418132


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 7560/572, 7256/731

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 7560/572, 7256/731?

Answer: GCF of Numerators as per given numbers 7560/572, 7256/731 is

GCF of Numerators i.e. for 7560,7256 is 8

LCM of denominators i.e. for 572,731 is 418132.

Thus, GCF of Fractions is 8/418132.Finally, GCF of Fractions for 7560/572, 7256/731 is 8/418132.