Greatest Common Factor of 79/68, 69/24, 76/34, 108/53

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 79/68, 69/24, 76/34, 108/53

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 79/68,69/24,76/34,108/53

Given fractions are 79/68,69/24,76/34,108/53

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 79,69,76,108

Greatest Common Factor of Numerators i.e. GCF of 79,69,76,108 is 1 .

LCM of Denominators means LCM of 68,24,34,53 as per the given fractions.

LCM of 68,24,34,53 is 21624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 79,69,76,108

GCF of Fractions 79/68,69/24,76/34,108/53 is 1/21624

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

Greatest Common Factor of 79,69,76,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,69,76,108 By Matching Biggest Common Factor Method

Factors of 79

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

1,79

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 76

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

1,2,4,19,38,76

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 79,69,76,108 . The biggest common factor number is the GCF number.
So the greatest common factor 79,69,76,108 is 1.

Lets's calculate LCM of 68,24,34,53

2 68, 24, 34, 53
2 34, 12, 17, 53
17 17, 6, 17, 53
1, 6, 1, 53

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 6 x 1 x 53 = 21624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21624

Therefore, the GCF of Fractions 79/68,69/24,76/34,108/53 is 1/21624

Least Common Multiple of 68,24,34,53 with GCF Formula

Least Common Multiple of 68,24,34,53 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 68,24,34,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,24,34,53) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(68,24,34,53) x common factors =1 x 136 = 136

LCM(68,24,34,53) = ( 68 × 24 × 34 × 53 ) / 136

LCM(68,24,34,53) = 2940864 / 136

LCM(68,24,34,53) = 21624


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 79/68, 69/24, 76/34, 108/53

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 79/68, 69/24, 76/34, 108/53?

Answer: GCF of Numerators as per given numbers 79/68, 69/24, 76/34, 108/53 is

GCF of Numerators i.e. for 79,69,76,108 is 1

LCM of denominators i.e. for 68,24,34,53 is 21624.

Thus, GCF of Fractions is 1/21624.Finally, GCF of Fractions for 79/68, 69/24, 76/34, 108/53 is 1/21624.