Greatest Common Factor of 60/31, 10/10, 537/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 60/31, 10/10, 537/245

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 60/31,10/10,537/245

Given fractions are 60/31,10/10,537/245

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 60,10,537

Greatest Common Factor of Numerators i.e. GCF of 60,10,537 is 1 .

LCM of Denominators means LCM of 31,10,245 as per the given fractions.

LCM of 31,10,245 is 15190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 60,10,537

GCF of Fractions 60/31,10/10,537/245 is 1/15190

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

Greatest Common Factor of 60,10,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,10,537 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 537

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

1,3,179,537

Greatest Common Factor

We found the factors 60,10,537 . The biggest common factor number is the GCF number.
So the greatest common factor 60,10,537 is 1.

Lets's calculate LCM of 31,10,245

5 31, 10, 245
31, 2, 49

∴ So the LCM of the given numbers is 5 x 31 x 2 x 49 = 15190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15190

Therefore, the GCF of Fractions 60/31,10/10,537/245 is 1/15190

Least Common Multiple of 31,10,245 with GCF Formula

Least Common Multiple of 31,10,245 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 31,10,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,10,245) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(31,10,245) x common factors =1 x 5 = 5

LCM(31,10,245) = ( 31 × 10 × 245 ) / 5

LCM(31,10,245) = 75950 / 5

LCM(31,10,245) = 15190


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 60/31, 10/10, 537/245

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 60/31, 10/10, 537/245?

Answer: GCF of Numerators as per given numbers 60/31, 10/10, 537/245 is

GCF of Numerators i.e. for 60,10,537 is 1

LCM of denominators i.e. for 31,10,245 is 15190.

Thus, GCF of Fractions is 1/15190.Finally, GCF of Fractions for 60/31, 10/10, 537/245 is 1/15190.