Greatest Common Factor of 8937/894, 7059/2692

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8937/894, 7059/2692

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 8937/894,7059/2692

Given fractions are 8937/894,7059/2692

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 8937,7059

Greatest Common Factor of Numerators i.e. GCF of 8937,7059 is 3 .

LCM of Denominators means LCM of 894,2692 as per the given fractions.

LCM of 894,2692 is 1203324 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8937,7059

GCF of Fractions 8937/894,7059/2692 is 3/1203324

3 8937, 7059
2979, 2353

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 8937,7059 By Matching Biggest Common Factor Method

Greatest Common Factor of 8937,7059 By Matching Biggest Common Factor Method

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1,3,9,27,331,993,2979,8937

Factors of 7059

List of positive integer factors of 7059 that divides 7059 without a remainder.

1,3,13,39,181,543,2353,7059

Greatest Common Factor

We found the factors 8937,7059 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,7059 is 3.

Lets's calculate LCM of 894,2692

2 894, 2692
447, 1346

∴ So the LCM of the given numbers is 2 x 447 x 1346 = 1203324

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1203324

Therefore, the GCF of Fractions 8937/894,7059/2692 is 3/1203324

Least Common Multiple of 894,2692 with GCF Formula

Least Common Multiple of 894,2692 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 894,2692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,2692) = 2

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

GCF(894,2692) x common factors =2 x 1 = 2

LCM(894,2692) = ( 894 × 2692 ) / 2

LCM(894,2692) = 2406648 / 2

LCM(894,2692) = 1203324


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 8937/894, 7059/2692

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 8937/894, 7059/2692?

Answer: GCF of Numerators as per given numbers 8937/894, 7059/2692 is

GCF of Numerators i.e. for 8937,7059 is 3

LCM of denominators i.e. for 894,2692 is 1203324.

Thus, GCF of Fractions is 3/1203324.Finally, GCF of Fractions for 8937/894, 7059/2692 is 3/1203324.