Greatest Common Factor of 767/276, 983/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/276, 983/696

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 767/276,983/696

Given fractions are 767/276,983/696

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 767,983

Greatest Common Factor of Numerators i.e. GCF of 767,983 is 1 .

LCM of Denominators means LCM of 276,696 as per the given fractions.

LCM of 276,696 is 16008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,983

GCF of Fractions 767/276,983/696 is 1/16008

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

Greatest Common Factor of 767,983 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,983 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 983

List of positive integer factors of 983 that divides 983 without a remainder.

1,983

Greatest Common Factor

We found the factors 767,983 . The biggest common factor number is the GCF number.
So the greatest common factor 767,983 is 1.

Lets's calculate LCM of 276,696

2 276, 696
2 138, 348
3 69, 174
23, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 58 = 16008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16008

Therefore, the GCF of Fractions 767/276,983/696 is 1/16008

Least Common Multiple of 276,696 with GCF Formula

Least Common Multiple of 276,696 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 276,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(276,696) = 12

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

GCF(276,696) x common factors =12 x 1 = 12

LCM(276,696) = ( 276 × 696 ) / 12

LCM(276,696) = 192096 / 12

LCM(276,696) = 16008


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 767/276, 983/696

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 767/276, 983/696?

Answer: GCF of Numerators as per given numbers 767/276, 983/696 is

GCF of Numerators i.e. for 767,983 is 1

LCM of denominators i.e. for 276,696 is 16008.

Thus, GCF of Fractions is 1/16008.Finally, GCF of Fractions for 767/276, 983/696 is 1/16008.