Greatest Common Factor of 876/76, 9344/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 876/76, 9344/260

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 876/76,9344/260

Given fractions are 876/76,9344/260

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 876,9344

Greatest Common Factor of Numerators i.e. GCF of 876,9344 is 292 .

LCM of Denominators means LCM of 76,260 as per the given fractions.

LCM of 76,260 is 4940 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 876,9344

GCF of Fractions 876/76,9344/260 is 292/4940

2 876, 9344
2 438, 4672
73 219, 2336
3, 32

∴ So the GCF of the given numbers is 2 x 2 x 73 = 292

Greatest Common Factor of 876,9344 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,9344 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors 876,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 876,9344 is 292.

Lets's calculate LCM of 76,260

2 76, 260
2 38, 130
19, 65

∴ So the LCM of the given numbers is 2 x 2 x 19 x 65 = 4940

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 292/4940

Therefore, the GCF of Fractions 876/76,9344/260 is 292/4940

Least Common Multiple of 76,260 with GCF Formula

Least Common Multiple of 76,260 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 76,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,260) = 4

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

GCF(76,260) x common factors =4 x 1 = 4

LCM(76,260) = ( 76 × 260 ) / 4

LCM(76,260) = 19760 / 4

LCM(76,260) = 4940


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 876/76, 9344/260

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 876/76, 9344/260?

Answer: GCF of Numerators as per given numbers 876/76, 9344/260 is

GCF of Numerators i.e. for 876,9344 is 292

LCM of denominators i.e. for 76,260 is 4940.

Thus, GCF of Fractions is 292/4940.Finally, GCF of Fractions for 876/76, 9344/260 is 292/4940.