Greatest Common Factor of 5377/53, 7903/656

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 5377/53, 7903/656

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 5377/53,7903/656

Given fractions are 5377/53,7903/656

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 5377,7903

Greatest Common Factor of Numerators i.e. GCF of 5377,7903 is 1 .

LCM of Denominators means LCM of 53,656 as per the given fractions.

LCM of 53,656 is 34768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5377,7903

GCF of Fractions 5377/53,7903/656 is 1/34768

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5377,7903 By Matching Biggest Common Factor Method

Greatest Common Factor of 5377,7903 By Matching Biggest Common Factor Method

Factors of 5377

List of positive integer factors of 5377 that divides 5377 without a remainder.

1,19,283,5377

Factors of 7903

List of positive integer factors of 7903 that divides 7903 without a remainder.

1,7,1129,7903

Greatest Common Factor

We found the factors 5377,7903 . The biggest common factor number is the GCF number.
So the greatest common factor 5377,7903 is 1.


Lets's calculate LCM of 53,656

Given numbers has no common factors except 1. So, there LCM is their product i.e 34768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34768

Therefore, the GCF of Fractions 5377/53,7903/656 is 1/34768

Least Common Multiple of 53,656 with GCF Formula

Least Common Multiple of 53,656 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 53,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,656) = 1

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

GCF(53,656) x common factors =1 x 1 = 1

LCM(53,656) = ( 53 × 656 ) / 1

LCM(53,656) = 34768 / 1

LCM(53,656) = 34768


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 5377/53, 7903/656

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 5377/53, 7903/656?

Answer: GCF of Numerators as per given numbers 5377/53, 7903/656 is

GCF of Numerators i.e. for 5377,7903 is 1

LCM of denominators i.e. for 53,656 is 34768.

Thus, GCF of Fractions is 1/34768.Finally, GCF of Fractions for 5377/53, 7903/656 is 1/34768.