Greatest Common Factor of 911/76, 721/94, 876/64

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 911/76, 721/94, 876/64

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 911/76,721/94,876/64

Given fractions are 911/76,721/94,876/64

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 911,721,876

Greatest Common Factor of Numerators i.e. GCF of 911,721,876 is 1 .

LCM of Denominators means LCM of 76,94,64 as per the given fractions.

LCM of 76,94,64 is 57152 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 911,721,876

GCF of Fractions 911/76,721/94,876/64 is 1/57152

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

Greatest Common Factor of 911,721,876 By Matching Biggest Common Factor Method

Greatest Common Factor of 911,721,876 By Matching Biggest Common Factor Method

Factors of 911

List of positive integer factors of 911 that divides 911 without a remainder.

1,911

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

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

Greatest Common Factor

We found the factors 911,721,876 . The biggest common factor number is the GCF number.
So the greatest common factor 911,721,876 is 1.

Lets's calculate LCM of 76,94,64

2 76, 94, 64
2 38, 47, 32
19, 47, 16

∴ So the LCM of the given numbers is 2 x 2 x 19 x 47 x 16 = 57152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57152

Therefore, the GCF of Fractions 911/76,721/94,876/64 is 1/57152

Least Common Multiple of 76,94,64 with GCF Formula

Least Common Multiple of 76,94,64 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 76,94,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,94,64) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(76,94,64) x common factors =2 x 4 = 8

LCM(76,94,64) = ( 76 × 94 × 64 ) / 8

LCM(76,94,64) = 457216 / 8

LCM(76,94,64) = 57152


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 911/76, 721/94, 876/64

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 911/76, 721/94, 876/64?

Answer: GCF of Numerators as per given numbers 911/76, 721/94, 876/64 is

GCF of Numerators i.e. for 911,721,876 is 1

LCM of denominators i.e. for 76,94,64 is 57152.

Thus, GCF of Fractions is 1/57152.Finally, GCF of Fractions for 911/76, 721/94, 876/64 is 1/57152.