Greatest Common Factor of 6/79, 20/71, 10/131, 646/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/79, 20/71, 10/131, 646/533

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 6/79,20/71,10/131,646/533

Given fractions are 6/79,20/71,10/131,646/533

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 6,20,10,646

Greatest Common Factor of Numerators i.e. GCF of 6,20,10,646 is 2 .

LCM of Denominators means LCM of 79,71,131,533 as per the given fractions.

LCM of 79,71,131,533 is 391637207 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,20,10,646

GCF of Fractions 6/79,20/71,10/131,646/533 is 2/391637207

2 6, 20, 10, 646
3, 10, 5, 323

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6,20,10,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,20,10,646 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 10

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

1,2,5,10

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 6,20,10,646 . The biggest common factor number is the GCF number.
So the greatest common factor 6,20,10,646 is 2.

Lets's calculate LCM of 79,71,131,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 391637207

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/391637207

Therefore, the GCF of Fractions 6/79,20/71,10/131,646/533 is 2/391637207

Least Common Multiple of 79,71,131,533 with GCF Formula

Least Common Multiple of 79,71,131,533 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 79,71,131,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,71,131,533) = 1

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

GCF(79,71,131,533) x common factors =1 x 1 = 1

LCM(79,71,131,533) = ( 79 × 71 × 131 × 533 ) / 1

LCM(79,71,131,533) = 391637207 / 1

LCM(79,71,131,533) = 391637207


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 6/79, 20/71, 10/131, 646/533

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 6/79, 20/71, 10/131, 646/533?

Answer: GCF of Numerators as per given numbers 6/79, 20/71, 10/131, 646/533 is

GCF of Numerators i.e. for 6,20,10,646 is 2

LCM of denominators i.e. for 79,71,131,533 is 391637207.

Thus, GCF of Fractions is 2/391637207.Finally, GCF of Fractions for 6/79, 20/71, 10/131, 646/533 is 2/391637207.