Greatest Common Factor of 420/64, 615/42, 131/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 420/64, 615/42, 131/182

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 420/64,615/42,131/182

Given fractions are 420/64,615/42,131/182

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 420,615,131

Greatest Common Factor of Numerators i.e. GCF of 420,615,131 is 1 .

LCM of Denominators means LCM of 64,42,182 as per the given fractions.

LCM of 64,42,182 is 17472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 420,615,131

GCF of Fractions 420/64,615/42,131/182 is 1/17472

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

Greatest Common Factor of 420,615,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 420,615,131 By Matching Biggest Common Factor Method

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 420,615,131 . The biggest common factor number is the GCF number.
So the greatest common factor 420,615,131 is 1.

Lets's calculate LCM of 64,42,182

2 64, 42, 182
7 32, 21, 91
32, 3, 13

∴ So the LCM of the given numbers is 2 x 7 x 32 x 3 x 13 = 17472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17472

Therefore, the GCF of Fractions 420/64,615/42,131/182 is 1/17472

Least Common Multiple of 64,42,182 with GCF Formula

Least Common Multiple of 64,42,182 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 64,42,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,42,182) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(64,42,182) x common factors =2 x 14 = 28

LCM(64,42,182) = ( 64 × 42 × 182 ) / 28

LCM(64,42,182) = 489216 / 28

LCM(64,42,182) = 17472


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 420/64, 615/42, 131/182

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 420/64, 615/42, 131/182?

Answer: GCF of Numerators as per given numbers 420/64, 615/42, 131/182 is

GCF of Numerators i.e. for 420,615,131 is 1

LCM of denominators i.e. for 64,42,182 is 17472.

Thus, GCF of Fractions is 1/17472.Finally, GCF of Fractions for 420/64, 615/42, 131/182 is 1/17472.