Greatest Common Factor of 432/78, 291/79, 111/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/78, 291/79, 111/14

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 432/78,291/79,111/14

Given fractions are 432/78,291/79,111/14

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 432,291,111

Greatest Common Factor of Numerators i.e. GCF of 432,291,111 is 3 .

LCM of Denominators means LCM of 78,79,14 as per the given fractions.

LCM of 78,79,14 is 43134 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,291,111

GCF of Fractions 432/78,291/79,111/14 is 3/43134

3 432, 291, 111
144, 97, 37

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 432,291,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,291,111 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 432,291,111 . The biggest common factor number is the GCF number.
So the greatest common factor 432,291,111 is 3.

Lets's calculate LCM of 78,79,14

2 78, 79, 14
39, 79, 7

∴ So the LCM of the given numbers is 2 x 39 x 79 x 7 = 43134

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43134

Therefore, the GCF of Fractions 432/78,291/79,111/14 is 3/43134

Least Common Multiple of 78,79,14 with GCF Formula

Least Common Multiple of 78,79,14 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 78,79,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,79,14) = 1

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

GCF(78,79,14) x common factors =1 x 2 = 2

LCM(78,79,14) = ( 78 × 79 × 14 ) / 2

LCM(78,79,14) = 86268 / 2

LCM(78,79,14) = 43134


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 432/78, 291/79, 111/14

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 432/78, 291/79, 111/14?

Answer: GCF of Numerators as per given numbers 432/78, 291/79, 111/14 is

GCF of Numerators i.e. for 432,291,111 is 3

LCM of denominators i.e. for 78,79,14 is 43134.

Thus, GCF of Fractions is 3/43134.Finally, GCF of Fractions for 432/78, 291/79, 111/14 is 3/43134.