Greatest Common Factor of 20/31, 47/78, 76/39, 68/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 20/31, 47/78, 76/39, 68/793

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 20/31,47/78,76/39,68/793

Given fractions are 20/31,47/78,76/39,68/793

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 20,47,76,68

Greatest Common Factor of Numerators i.e. GCF of 20,47,76,68 is 1 .

LCM of Denominators means LCM of 31,78,39,793 as per the given fractions.

LCM of 31,78,39,793 is 147498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 20,47,76,68

GCF of Fractions 20/31,47/78,76/39,68/793 is 1/147498

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

Greatest Common Factor of 20,47,76,68 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,47,76,68 By Matching Biggest Common Factor Method

Factors of 20

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

1,2,4,5,10,20

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Greatest Common Factor

We found the factors 20,47,76,68 . The biggest common factor number is the GCF number.
So the greatest common factor 20,47,76,68 is 1.

Lets's calculate LCM of 31,78,39,793

3 31, 78, 39, 793
13 31, 26, 13, 793
31, 2, 1, 61

∴ So the LCM of the given numbers is 3 x 13 x 31 x 2 x 1 x 61 = 147498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147498

Therefore, the GCF of Fractions 20/31,47/78,76/39,68/793 is 1/147498

Least Common Multiple of 31,78,39,793 with GCF Formula

Least Common Multiple of 31,78,39,793 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 31,78,39,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,78,39,793) = 1

common factors(in case of two or more numbers have common factors) = 507

GCF(31,78,39,793) x common factors =1 x 507 = 507

LCM(31,78,39,793) = ( 31 × 78 × 39 × 793 ) / 507

LCM(31,78,39,793) = 74781486 / 507

LCM(31,78,39,793) = 147498


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 20/31, 47/78, 76/39, 68/793

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 20/31, 47/78, 76/39, 68/793?

Answer: GCF of Numerators as per given numbers 20/31, 47/78, 76/39, 68/793 is

GCF of Numerators i.e. for 20,47,76,68 is 1

LCM of denominators i.e. for 31,78,39,793 is 147498.

Thus, GCF of Fractions is 1/147498.Finally, GCF of Fractions for 20/31, 47/78, 76/39, 68/793 is 1/147498.