Greatest Common Factor of 969/381, 779/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 969/381, 779/294

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 969/381,779/294

Given fractions are 969/381,779/294

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 969,779

Greatest Common Factor of Numerators i.e. GCF of 969,779 is 19 .

LCM of Denominators means LCM of 381,294 as per the given fractions.

LCM of 381,294 is 37338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 969,779

GCF of Fractions 969/381,779/294 is 19/37338

19 969, 779
51, 41

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

Greatest Common Factor of 969,779 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,779 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Greatest Common Factor

We found the factors 969,779 . The biggest common factor number is the GCF number.
So the greatest common factor 969,779 is 19.

Lets's calculate LCM of 381,294

3 381, 294
127, 98

∴ So the LCM of the given numbers is 3 x 127 x 98 = 37338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/37338

Therefore, the GCF of Fractions 969/381,779/294 is 19/37338

Least Common Multiple of 381,294 with GCF Formula

Least Common Multiple of 381,294 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 381,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(381,294) = 3

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

GCF(381,294) x common factors =3 x 1 = 3

LCM(381,294) = ( 381 × 294 ) / 3

LCM(381,294) = 112014 / 3

LCM(381,294) = 37338


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 969/381, 779/294

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 969/381, 779/294?

Answer: GCF of Numerators as per given numbers 969/381, 779/294 is

GCF of Numerators i.e. for 969,779 is 19

LCM of denominators i.e. for 381,294 is 37338.

Thus, GCF of Fractions is 19/37338.Finally, GCF of Fractions for 969/381, 779/294 is 19/37338.