Greatest Common Factor of 431/39, 312/68, 125/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 431/39, 312/68, 125/132

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 431/39,312/68,125/132

Given fractions are 431/39,312/68,125/132

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 431,312,125

Greatest Common Factor of Numerators i.e. GCF of 431,312,125 is 1 .

LCM of Denominators means LCM of 39,68,132 as per the given fractions.

LCM of 39,68,132 is 29172 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 431,312,125

GCF of Fractions 431/39,312/68,125/132 is 1/29172

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

Greatest Common Factor of 431,312,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,312,125 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 431,312,125 . The biggest common factor number is the GCF number.
So the greatest common factor 431,312,125 is 1.

Lets's calculate LCM of 39,68,132

2 39, 68, 132
2 39, 34, 66
3 39, 17, 33
13, 17, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 17 x 11 = 29172

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29172

Therefore, the GCF of Fractions 431/39,312/68,125/132 is 1/29172

Least Common Multiple of 39,68,132 with GCF Formula

Least Common Multiple of 39,68,132 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 39,68,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,68,132) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(39,68,132) x common factors =1 x 12 = 12

LCM(39,68,132) = ( 39 × 68 × 132 ) / 12

LCM(39,68,132) = 350064 / 12

LCM(39,68,132) = 29172


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 431/39, 312/68, 125/132

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 431/39, 312/68, 125/132?

Answer: GCF of Numerators as per given numbers 431/39, 312/68, 125/132 is

GCF of Numerators i.e. for 431,312,125 is 1

LCM of denominators i.e. for 39,68,132 is 29172.

Thus, GCF of Fractions is 1/29172.Finally, GCF of Fractions for 431/39, 312/68, 125/132 is 1/29172.