Greatest Common Factor of 721/36, 138/95, 962/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 721/36, 138/95, 962/905

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 721/36,138/95,962/905

Given fractions are 721/36,138/95,962/905

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 721,138,962

Greatest Common Factor of Numerators i.e. GCF of 721,138,962 is 1 .

LCM of Denominators means LCM of 36,95,905 as per the given fractions.

LCM of 36,95,905 is 619020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 721,138,962

GCF of Fractions 721/36,138/95,962/905 is 1/619020

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

Greatest Common Factor of 721,138,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,138,962 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 721,138,962 . The biggest common factor number is the GCF number.
So the greatest common factor 721,138,962 is 1.

Lets's calculate LCM of 36,95,905

5 36, 95, 905
36, 19, 181

∴ So the LCM of the given numbers is 5 x 36 x 19 x 181 = 619020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/619020

Therefore, the GCF of Fractions 721/36,138/95,962/905 is 1/619020

Least Common Multiple of 36,95,905 with GCF Formula

Least Common Multiple of 36,95,905 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 36,95,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,95,905) = 1

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

GCF(36,95,905) x common factors =1 x 5 = 5

LCM(36,95,905) = ( 36 × 95 × 905 ) / 5

LCM(36,95,905) = 3095100 / 5

LCM(36,95,905) = 619020


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 721/36, 138/95, 962/905

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 721/36, 138/95, 962/905?

Answer: GCF of Numerators as per given numbers 721/36, 138/95, 962/905 is

GCF of Numerators i.e. for 721,138,962 is 1

LCM of denominators i.e. for 36,95,905 is 619020.

Thus, GCF of Fractions is 1/619020.Finally, GCF of Fractions for 721/36, 138/95, 962/905 is 1/619020.