Greatest Common Factor of 937/60, 754/21, 272/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 937/60, 754/21, 272/394

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 937/60,754/21,272/394

Given fractions are 937/60,754/21,272/394

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 937,754,272

Greatest Common Factor of Numerators i.e. GCF of 937,754,272 is 1 .

LCM of Denominators means LCM of 60,21,394 as per the given fractions.

LCM of 60,21,394 is 82740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 937,754,272

GCF of Fractions 937/60,754/21,272/394 is 1/82740

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

Greatest Common Factor of 937,754,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 937,754,272 By Matching Biggest Common Factor Method

Factors of 937

List of positive integer factors of 937 that divides 937 without a remainder.

1,937

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 937,754,272 . The biggest common factor number is the GCF number.
So the greatest common factor 937,754,272 is 1.

Lets's calculate LCM of 60,21,394

2 60, 21, 394
3 30, 21, 197
10, 7, 197

∴ So the LCM of the given numbers is 2 x 3 x 10 x 7 x 197 = 82740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82740

Therefore, the GCF of Fractions 937/60,754/21,272/394 is 1/82740

Least Common Multiple of 60,21,394 with GCF Formula

Least Common Multiple of 60,21,394 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 60,21,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,21,394) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(60,21,394) x common factors =1 x 6 = 6

LCM(60,21,394) = ( 60 × 21 × 394 ) / 6

LCM(60,21,394) = 496440 / 6

LCM(60,21,394) = 82740


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 937/60, 754/21, 272/394

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 937/60, 754/21, 272/394?

Answer: GCF of Numerators as per given numbers 937/60, 754/21, 272/394 is

GCF of Numerators i.e. for 937,754,272 is 1

LCM of denominators i.e. for 60,21,394 is 82740.

Thus, GCF of Fractions is 1/82740.Finally, GCF of Fractions for 937/60, 754/21, 272/394 is 1/82740.