Greatest Common Factor of 156/708, 359/287

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 156/708, 359/287

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 156/708,359/287

Given fractions are 156/708,359/287

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 156,359

Greatest Common Factor of Numerators i.e. GCF of 156,359 is 1 .

LCM of Denominators means LCM of 708,287 as per the given fractions.

LCM of 708,287 is 203196 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 156,359

GCF of Fractions 156/708,359/287 is 1/203196

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

Greatest Common Factor of 156,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 156,359 By Matching Biggest Common Factor Method

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Greatest Common Factor

We found the factors 156,359 . The biggest common factor number is the GCF number.
So the greatest common factor 156,359 is 1.


Lets's calculate LCM of 708,287

Given numbers has no common factors except 1. So, there LCM is their product i.e 203196

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203196

Therefore, the GCF of Fractions 156/708,359/287 is 1/203196

Least Common Multiple of 708,287 with GCF Formula

Least Common Multiple of 708,287 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 708,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,287) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(708,287) x common factors =1 x 1 = 1

LCM(708,287) = ( 708 × 287 ) / 1

LCM(708,287) = 203196 / 1

LCM(708,287) = 203196


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 156/708, 359/287

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 156/708, 359/287?

Answer: GCF of Numerators as per given numbers 156/708, 359/287 is

GCF of Numerators i.e. for 156,359 is 1

LCM of denominators i.e. for 708,287 is 203196.

Thus, GCF of Fractions is 1/203196.Finally, GCF of Fractions for 156/708, 359/287 is 1/203196.