Greatest Common Factor of 21/131, 398/687, 147/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 21/131, 398/687, 147/460

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 21/131,398/687,147/460

Given fractions are 21/131,398/687,147/460

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 21,398,147

Greatest Common Factor of Numerators i.e. GCF of 21,398,147 is 1 .

LCM of Denominators means LCM of 131,687,460 as per the given fractions.

LCM of 131,687,460 is 41398620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 21,398,147

GCF of Fractions 21/131,398/687,147/460 is 1/41398620

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

Greatest Common Factor of 21,398,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,398,147 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 21,398,147 . The biggest common factor number is the GCF number.
So the greatest common factor 21,398,147 is 1.

Lets's calculate LCM of 131,687,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 41398620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41398620

Therefore, the GCF of Fractions 21/131,398/687,147/460 is 1/41398620

Least Common Multiple of 131,687,460 with GCF Formula

Least Common Multiple of 131,687,460 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 131,687,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,687,460) = 1

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

GCF(131,687,460) x common factors =1 x 1 = 1

LCM(131,687,460) = ( 131 × 687 × 460 ) / 1

LCM(131,687,460) = 41398620 / 1

LCM(131,687,460) = 41398620


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 21/131, 398/687, 147/460

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 21/131, 398/687, 147/460?

Answer: GCF of Numerators as per given numbers 21/131, 398/687, 147/460 is

GCF of Numerators i.e. for 21,398,147 is 1

LCM of denominators i.e. for 131,687,460 is 41398620.

Thus, GCF of Fractions is 1/41398620.Finally, GCF of Fractions for 21/131, 398/687, 147/460 is 1/41398620.