Greatest Common Factor of 72/156, 95/704, 192/439

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/156, 95/704, 192/439

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 72/156,95/704,192/439

Given fractions are 72/156,95/704,192/439

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 72,95,192

Greatest Common Factor of Numerators i.e. GCF of 72,95,192 is 1 .

LCM of Denominators means LCM of 156,704,439 as per the given fractions.

LCM of 156,704,439 is 12053184 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,95,192

GCF of Fractions 72/156,95/704,192/439 is 1/12053184

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

Greatest Common Factor of 72,95,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,95,192 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 72,95,192 . The biggest common factor number is the GCF number.
So the greatest common factor 72,95,192 is 1.

Lets's calculate LCM of 156,704,439

2 156, 704, 439
2 78, 352, 439
39, 176, 439

∴ So the LCM of the given numbers is 2 x 2 x 39 x 176 x 439 = 12053184

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12053184

Therefore, the GCF of Fractions 72/156,95/704,192/439 is 1/12053184

Least Common Multiple of 156,704,439 with GCF Formula

Least Common Multiple of 156,704,439 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 156,704,439 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,704,439) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(156,704,439) x common factors =1 x 4 = 4

LCM(156,704,439) = ( 156 × 704 × 439 ) / 4

LCM(156,704,439) = 48212736 / 4

LCM(156,704,439) = 12053184


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 72/156, 95/704, 192/439

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 72/156, 95/704, 192/439?

Answer: GCF of Numerators as per given numbers 72/156, 95/704, 192/439 is

GCF of Numerators i.e. for 72,95,192 is 1

LCM of denominators i.e. for 156,704,439 is 12053184.

Thus, GCF of Fractions is 1/12053184.Finally, GCF of Fractions for 72/156, 95/704, 192/439 is 1/12053184.