Greatest Common Factor of 8939/938, 7456/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 8939/938, 7456/732

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 8939/938,7456/732

Given fractions are 8939/938,7456/732

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 8939,7456

Greatest Common Factor of Numerators i.e. GCF of 8939,7456 is 1 .

LCM of Denominators means LCM of 938,732 as per the given fractions.

LCM of 938,732 is 343308 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8939,7456

GCF of Fractions 8939/938,7456/732 is 1/343308

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

Greatest Common Factor of 8939,7456 By Matching Biggest Common Factor Method

Greatest Common Factor of 8939,7456 By Matching Biggest Common Factor Method

Factors of 8939

List of positive integer factors of 8939 that divides 8939 without a remainder.

1,7,1277,8939

Factors of 7456

List of positive integer factors of 7456 that divides 7456 without a remainder.

1,2,4,8,16,32,233,466,932,1864,3728,7456

Greatest Common Factor

We found the factors 8939,7456 . The biggest common factor number is the GCF number.
So the greatest common factor 8939,7456 is 1.


Lets's calculate LCM of 938,732

2 938, 732
469, 366

∴ So the LCM of the given numbers is 2 x 469 x 366 = 343308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343308

Therefore, the GCF of Fractions 8939/938,7456/732 is 1/343308

Least Common Multiple of 938,732 with GCF Formula

Least Common Multiple of 938,732 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 938,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,732) = 2

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

GCF(938,732) x common factors =2 x 1 = 2

LCM(938,732) = ( 938 × 732 ) / 2

LCM(938,732) = 686616 / 2

LCM(938,732) = 343308


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 8939/938, 7456/732

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 8939/938, 7456/732?

Answer: GCF of Numerators as per given numbers 8939/938, 7456/732 is

GCF of Numerators i.e. for 8939,7456 is 1

LCM of denominators i.e. for 938,732 is 343308.

Thus, GCF of Fractions is 1/343308.Finally, GCF of Fractions for 8939/938, 7456/732 is 1/343308.