Greatest Common Factor of 931/976, 766/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 931/976, 766/289

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 931/976,766/289

Given fractions are 931/976,766/289

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 931,766

Greatest Common Factor of Numerators i.e. GCF of 931,766 is 1 .

LCM of Denominators means LCM of 976,289 as per the given fractions.

LCM of 976,289 is 282064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 931,766

GCF of Fractions 931/976,766/289 is 1/282064

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

Greatest Common Factor of 931,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 931,766 By Matching Biggest Common Factor Method

Factors of 931

List of positive integer factors of 931 that divides 931 without a remainder.

1,7,19,49,133,931

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 931,766 . The biggest common factor number is the GCF number.
So the greatest common factor 931,766 is 1.

Lets's calculate LCM of 976,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 282064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/282064

Therefore, the GCF of Fractions 931/976,766/289 is 1/282064

Least Common Multiple of 976,289 with GCF Formula

Least Common Multiple of 976,289 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 976,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,289) = 1

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

GCF(976,289) x common factors =1 x 1 = 1

LCM(976,289) = ( 976 × 289 ) / 1

LCM(976,289) = 282064 / 1

LCM(976,289) = 282064


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 931/976, 766/289

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 931/976, 766/289?

Answer: GCF of Numerators as per given numbers 931/976, 766/289 is

GCF of Numerators i.e. for 931,766 is 1

LCM of denominators i.e. for 976,289 is 282064.

Thus, GCF of Fractions is 1/282064.Finally, GCF of Fractions for 931/976, 766/289 is 1/282064.