Greatest Common Factor of 7508/544, 7538/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7508/544, 7538/784

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 7508/544,7538/784

Given fractions are 7508/544,7538/784

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 7508,7538

Greatest Common Factor of Numerators i.e. GCF of 7508,7538 is 2 .

LCM of Denominators means LCM of 544,784 as per the given fractions.

LCM of 544,784 is 26656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7508,7538

GCF of Fractions 7508/544,7538/784 is 2/26656

2 7508, 7538
3754, 3769

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

Greatest Common Factor of 7508,7538 By Matching Biggest Common Factor Method

Greatest Common Factor of 7508,7538 By Matching Biggest Common Factor Method

Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1,2,4,1877,3754,7508

Factors of 7538

List of positive integer factors of 7538 that divides 7538 without a remainder.

1,2,3769,7538

Greatest Common Factor

We found the factors 7508,7538 . The biggest common factor number is the GCF number.
So the greatest common factor 7508,7538 is 2.

Lets's calculate LCM of 544,784

2 544, 784
2 272, 392
2 136, 196
2 68, 98
34, 49

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 34 x 49 = 26656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/26656

Therefore, the GCF of Fractions 7508/544,7538/784 is 2/26656

Least Common Multiple of 544,784 with GCF Formula

Least Common Multiple of 544,784 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 544,784 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,784) = 16

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

GCF(544,784) x common factors =16 x 1 = 16

LCM(544,784) = ( 544 × 784 ) / 16

LCM(544,784) = 426496 / 16

LCM(544,784) = 26656


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 7508/544, 7538/784

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 7508/544, 7538/784?

Answer: GCF of Numerators as per given numbers 7508/544, 7538/784 is

GCF of Numerators i.e. for 7508,7538 is 2

LCM of denominators i.e. for 544,784 is 26656.

Thus, GCF of Fractions is 2/26656.Finally, GCF of Fractions for 7508/544, 7538/784 is 2/26656.