Greatest Common Factor of 4774/137, 7539/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4774/137, 7539/655

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 4774/137,7539/655

Given fractions are 4774/137,7539/655

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 4774,7539

Greatest Common Factor of Numerators i.e. GCF of 4774,7539 is 7 .

LCM of Denominators means LCM of 137,655 as per the given fractions.

LCM of 137,655 is 89735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4774,7539

GCF of Fractions 4774/137,7539/655 is 7/89735

7 4774, 7539
682, 1077

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 4774,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 4774,7539 By Matching Biggest Common Factor Method

Factors of 4774

List of positive integer factors of 4774 that divides 4774 without a remainder.

1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 4774,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 4774,7539 is 7.

Lets's calculate LCM of 137,655

Given numbers has no common factors except 1. So, there LCM is their product i.e 89735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/89735

Therefore, the GCF of Fractions 4774/137,7539/655 is 7/89735

Least Common Multiple of 137,655 with GCF Formula

Least Common Multiple of 137,655 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 137,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,655) = 1

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

GCF(137,655) x common factors =1 x 1 = 1

LCM(137,655) = ( 137 × 655 ) / 1

LCM(137,655) = 89735 / 1

LCM(137,655) = 89735


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 4774/137, 7539/655

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 4774/137, 7539/655?

Answer: GCF of Numerators as per given numbers 4774/137, 7539/655 is

GCF of Numerators i.e. for 4774,7539 is 7

LCM of denominators i.e. for 137,655 is 89735.

Thus, GCF of Fractions is 7/89735.Finally, GCF of Fractions for 4774/137, 7539/655 is 7/89735.