Greatest Common Factor of 980/93, 537/10, 268/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 980/93, 537/10, 268/31

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 980/93,537/10,268/31

Given fractions are 980/93,537/10,268/31

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 980,537,268

Greatest Common Factor of Numerators i.e. GCF of 980,537,268 is 1 .

LCM of Denominators means LCM of 93,10,31 as per the given fractions.

LCM of 93,10,31 is 930 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 980,537,268

GCF of Fractions 980/93,537/10,268/31 is 1/930

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

Greatest Common Factor of 980,537,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,537,268 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 980,537,268 . The biggest common factor number is the GCF number.
So the greatest common factor 980,537,268 is 1.

Lets's calculate LCM of 93,10,31

31 93, 10, 31
3, 10, 1

∴ So the LCM of the given numbers is 31 x 3 x 10 x 1 = 930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/930

Therefore, the GCF of Fractions 980/93,537/10,268/31 is 1/930

Least Common Multiple of 93,10,31 with GCF Formula

Least Common Multiple of 93,10,31 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 93,10,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,10,31) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(93,10,31) x common factors =1 x 31 = 31

LCM(93,10,31) = ( 93 × 10 × 31 ) / 31

LCM(93,10,31) = 28830 / 31

LCM(93,10,31) = 930


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 980/93, 537/10, 268/31

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 980/93, 537/10, 268/31?

Answer: GCF of Numerators as per given numbers 980/93, 537/10, 268/31 is

GCF of Numerators i.e. for 980,537,268 is 1

LCM of denominators i.e. for 93,10,31 is 930.

Thus, GCF of Fractions is 1/930.Finally, GCF of Fractions for 980/93, 537/10, 268/31 is 1/930.