Greatest Common Factor of 760/294, 931/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/294, 931/667

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 760/294,931/667

Given fractions are 760/294,931/667

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 760,931

Greatest Common Factor of Numerators i.e. GCF of 760,931 is 19 .

LCM of Denominators means LCM of 294,667 as per the given fractions.

LCM of 294,667 is 196098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,931

GCF of Fractions 760/294,931/667 is 19/196098

19 760, 931
40, 49

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 760,931 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,931 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 931

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

1,7,19,49,133,931

Greatest Common Factor

We found the factors 760,931 . The biggest common factor number is the GCF number.
So the greatest common factor 760,931 is 19.

Lets's calculate LCM of 294,667

Given numbers has no common factors except 1. So, there LCM is their product i.e 196098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/196098

Therefore, the GCF of Fractions 760/294,931/667 is 19/196098

Least Common Multiple of 294,667 with GCF Formula

Least Common Multiple of 294,667 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 294,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(294,667) = 1

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

GCF(294,667) x common factors =1 x 1 = 1

LCM(294,667) = ( 294 × 667 ) / 1

LCM(294,667) = 196098 / 1

LCM(294,667) = 196098


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 760/294, 931/667

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 760/294, 931/667?

Answer: GCF of Numerators as per given numbers 760/294, 931/667 is

GCF of Numerators i.e. for 760,931 is 19

LCM of denominators i.e. for 294,667 is 196098.

Thus, GCF of Fractions is 19/196098.Finally, GCF of Fractions for 760/294, 931/667 is 19/196098.