Greatest Common Factor of 31/137, 43/717, 107/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/137, 43/717, 107/739

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 31/137,43/717,107/739

Given fractions are 31/137,43/717,107/739

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 31,43,107

Greatest Common Factor of Numerators i.e. GCF of 31,43,107 is 1 .

LCM of Denominators means LCM of 137,717,739 as per the given fractions.

LCM of 137,717,739 is 72591231 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,43,107

GCF of Fractions 31/137,43/717,107/739 is 1/72591231

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

Greatest Common Factor of 31,43,107 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,43,107 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Greatest Common Factor

We found the factors 31,43,107 . The biggest common factor number is the GCF number.
So the greatest common factor 31,43,107 is 1.

Lets's calculate LCM of 137,717,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 72591231

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72591231

Therefore, the GCF of Fractions 31/137,43/717,107/739 is 1/72591231

Least Common Multiple of 137,717,739 with GCF Formula

Least Common Multiple of 137,717,739 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 137,717,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(137,717,739) = 1

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

GCF(137,717,739) x common factors =1 x 1 = 1

LCM(137,717,739) = ( 137 × 717 × 739 ) / 1

LCM(137,717,739) = 72591231 / 1

LCM(137,717,739) = 72591231


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 31/137, 43/717, 107/739

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 31/137, 43/717, 107/739?

Answer: GCF of Numerators as per given numbers 31/137, 43/717, 107/739 is

GCF of Numerators i.e. for 31,43,107 is 1

LCM of denominators i.e. for 137,717,739 is 72591231.

Thus, GCF of Fractions is 1/72591231.Finally, GCF of Fractions for 31/137, 43/717, 107/739 is 1/72591231.