Greatest Common Factor of 58/71, 79/68, 43/82, 76/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 58/71, 79/68, 43/82, 76/781

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 58/71,79/68,43/82,76/781

Given fractions are 58/71,79/68,43/82,76/781

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 58,79,43,76

Greatest Common Factor of Numerators i.e. GCF of 58,79,43,76 is 1 .

LCM of Denominators means LCM of 71,68,82,781 as per the given fractions.

LCM of 71,68,82,781 is 2177428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 58,79,43,76

GCF of Fractions 58/71,79/68,43/82,76/781 is 1/2177428

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

Greatest Common Factor of 58,79,43,76 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,79,43,76 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 79

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

1,79

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 76

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

1,2,4,19,38,76

Greatest Common Factor

We found the factors 58,79,43,76 . The biggest common factor number is the GCF number.
So the greatest common factor 58,79,43,76 is 1.

Lets's calculate LCM of 71,68,82,781

2 71, 68, 82, 781
71 71, 34, 41, 781
1, 34, 41, 11

∴ So the LCM of the given numbers is 2 x 71 x 1 x 34 x 41 x 11 = 2177428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2177428

Therefore, the GCF of Fractions 58/71,79/68,43/82,76/781 is 1/2177428

Least Common Multiple of 71,68,82,781 with GCF Formula

Least Common Multiple of 71,68,82,781 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 71,68,82,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,68,82,781) = 1

common factors(in case of two or more numbers have common factors) = 142

GCF(71,68,82,781) x common factors =1 x 142 = 142

LCM(71,68,82,781) = ( 71 × 68 × 82 × 781 ) / 142

LCM(71,68,82,781) = 309194776 / 142

LCM(71,68,82,781) = 2177428


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 58/71, 79/68, 43/82, 76/781

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 58/71, 79/68, 43/82, 76/781?

Answer: GCF of Numerators as per given numbers 58/71, 79/68, 43/82, 76/781 is

GCF of Numerators i.e. for 58,79,43,76 is 1

LCM of denominators i.e. for 71,68,82,781 is 2177428.

Thus, GCF of Fractions is 1/2177428.Finally, GCF of Fractions for 58/71, 79/68, 43/82, 76/781 is 1/2177428.