Greatest Common Factor of 15/71, 18/26, 76/79, 430/84

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/71, 18/26, 76/79, 430/84

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 15/71,18/26,76/79,430/84

Given fractions are 15/71,18/26,76/79,430/84

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 15,18,76,430

Greatest Common Factor of Numerators i.e. GCF of 15,18,76,430 is 1 .

LCM of Denominators means LCM of 71,26,79,84 as per the given fractions.

LCM of 71,26,79,84 is 6125028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,18,76,430

GCF of Fractions 15/71,18/26,76/79,430/84 is 1/6125028

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

Greatest Common Factor of 15,18,76,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,18,76,430 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 76

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

1,2,4,19,38,76

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 15,18,76,430 . The biggest common factor number is the GCF number.
So the greatest common factor 15,18,76,430 is 1.

Lets's calculate LCM of 71,26,79,84

2 71, 26, 79, 84
71, 13, 79, 42

∴ So the LCM of the given numbers is 2 x 71 x 13 x 79 x 42 = 6125028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6125028

Therefore, the GCF of Fractions 15/71,18/26,76/79,430/84 is 1/6125028

Least Common Multiple of 71,26,79,84 with GCF Formula

Least Common Multiple of 71,26,79,84 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 71,26,79,84 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,26,79,84) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,26,79,84) x common factors =1 x 2 = 2

LCM(71,26,79,84) = ( 71 × 26 × 79 × 84 ) / 2

LCM(71,26,79,84) = 12250056 / 2

LCM(71,26,79,84) = 6125028


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 15/71, 18/26, 76/79, 430/84

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 15/71, 18/26, 76/79, 430/84?

Answer: GCF of Numerators as per given numbers 15/71, 18/26, 76/79, 430/84 is

GCF of Numerators i.e. for 15,18,76,430 is 1

LCM of denominators i.e. for 71,26,79,84 is 6125028.

Thus, GCF of Fractions is 1/6125028.Finally, GCF of Fractions for 15/71, 18/26, 76/79, 430/84 is 1/6125028.