Greatest Common Factor of 6/17, 79/54, 20/338, 973/591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/17, 79/54, 20/338, 973/591

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 6/17,79/54,20/338,973/591

Given fractions are 6/17,79/54,20/338,973/591

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 6,79,20,973

Greatest Common Factor of Numerators i.e. GCF of 6,79,20,973 is 1 .

LCM of Denominators means LCM of 17,54,338,591 as per the given fractions.

LCM of 17,54,338,591 is 30562974 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,79,20,973

GCF of Fractions 6/17,79/54,20/338,973/591 is 1/30562974

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

Greatest Common Factor of 6,79,20,973 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,79,20,973 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 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 20

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

1,2,4,5,10,20

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Greatest Common Factor

We found the factors 6,79,20,973 . The biggest common factor number is the GCF number.
So the greatest common factor 6,79,20,973 is 1.

Lets's calculate LCM of 17,54,338,591

2 17, 54, 338, 591
3 17, 27, 169, 591
17, 9, 169, 197

∴ So the LCM of the given numbers is 2 x 3 x 17 x 9 x 169 x 197 = 30562974

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30562974

Therefore, the GCF of Fractions 6/17,79/54,20/338,973/591 is 1/30562974

Least Common Multiple of 17,54,338,591 with GCF Formula

Least Common Multiple of 17,54,338,591 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 17,54,338,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,54,338,591) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(17,54,338,591) x common factors =1 x 6 = 6

LCM(17,54,338,591) = ( 17 × 54 × 338 × 591 ) / 6

LCM(17,54,338,591) = 183377844 / 6

LCM(17,54,338,591) = 30562974


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 6/17, 79/54, 20/338, 973/591

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 6/17, 79/54, 20/338, 973/591?

Answer: GCF of Numerators as per given numbers 6/17, 79/54, 20/338, 973/591 is

GCF of Numerators i.e. for 6,79,20,973 is 1

LCM of denominators i.e. for 17,54,338,591 is 30562974.

Thus, GCF of Fractions is 1/30562974.Finally, GCF of Fractions for 6/17, 79/54, 20/338, 973/591 is 1/30562974.