Greatest Common Factor of 979/423, 831/764, 276/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 979/423, 831/764, 276/860

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 979/423,831/764,276/860

Given fractions are 979/423,831/764,276/860

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 979,831,276

Greatest Common Factor of Numerators i.e. GCF of 979,831,276 is 1 .

LCM of Denominators means LCM of 423,764,860 as per the given fractions.

LCM of 423,764,860 is 69481980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 979,831,276

GCF of Fractions 979/423,831/764,276/860 is 1/69481980

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

Greatest Common Factor of 979,831,276 By Matching Biggest Common Factor Method

Greatest Common Factor of 979,831,276 By Matching Biggest Common Factor Method

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Factors of 831

List of positive integer factors of 831 that divides 831 without a remainder.

1,3,277,831

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Greatest Common Factor

We found the factors 979,831,276 . The biggest common factor number is the GCF number.
So the greatest common factor 979,831,276 is 1.

Lets's calculate LCM of 423,764,860

2 423, 764, 860
2 423, 382, 430
423, 191, 215

∴ So the LCM of the given numbers is 2 x 2 x 423 x 191 x 215 = 69481980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69481980

Therefore, the GCF of Fractions 979/423,831/764,276/860 is 1/69481980

Least Common Multiple of 423,764,860 with GCF Formula

Least Common Multiple of 423,764,860 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 423,764,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,764,860) = 1

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

GCF(423,764,860) x common factors =1 x 4 = 4

LCM(423,764,860) = ( 423 × 764 × 860 ) / 4

LCM(423,764,860) = 277927920 / 4

LCM(423,764,860) = 69481980


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 979/423, 831/764, 276/860

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 979/423, 831/764, 276/860?

Answer: GCF of Numerators as per given numbers 979/423, 831/764, 276/860 is

GCF of Numerators i.e. for 979,831,276 is 1

LCM of denominators i.e. for 423,764,860 is 69481980.

Thus, GCF of Fractions is 1/69481980.Finally, GCF of Fractions for 979/423, 831/764, 276/860 is 1/69481980.