Greatest Common Factor of 7510/504, 9472/1256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7510/504, 9472/1256

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 7510/504,9472/1256

Given fractions are 7510/504,9472/1256

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 7510,9472

Greatest Common Factor of Numerators i.e. GCF of 7510,9472 is 2 .

LCM of Denominators means LCM of 504,1256 as per the given fractions.

LCM of 504,1256 is 79128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7510,9472

GCF of Fractions 7510/504,9472/1256 is 2/79128

2 7510, 9472
3755, 4736

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

Greatest Common Factor of 7510,9472 By Matching Biggest Common Factor Method

Greatest Common Factor of 7510,9472 By Matching Biggest Common Factor Method

Factors of 7510

List of positive integer factors of 7510 that divides 7510 without a remainder.

1,2,5,10,751,1502,3755,7510

Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472

Greatest Common Factor

We found the factors 7510,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 7510,9472 is 2.

Lets's calculate LCM of 504,1256

2 504, 1256
2 252, 628
2 126, 314
63, 157

∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 157 = 79128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/79128

Therefore, the GCF of Fractions 7510/504,9472/1256 is 2/79128

Least Common Multiple of 504,1256 with GCF Formula

Least Common Multiple of 504,1256 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 504,1256 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,1256) = 8

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

GCF(504,1256) x common factors =8 x 1 = 8

LCM(504,1256) = ( 504 × 1256 ) / 8

LCM(504,1256) = 633024 / 8

LCM(504,1256) = 79128


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 7510/504, 9472/1256

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 7510/504, 9472/1256?

Answer: GCF of Numerators as per given numbers 7510/504, 9472/1256 is

GCF of Numerators i.e. for 7510,9472 is 2

LCM of denominators i.e. for 504,1256 is 79128.

Thus, GCF of Fractions is 2/79128.Finally, GCF of Fractions for 7510/504, 9472/1256 is 2/79128.