Greatest Common Factor of 157/26, 656/1362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 157/26, 656/1362

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 157/26,656/1362

Given fractions are 157/26,656/1362

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 157,656

Greatest Common Factor of Numerators i.e. GCF of 157,656 is 1 .

LCM of Denominators means LCM of 26,1362 as per the given fractions.

LCM of 26,1362 is 17706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 157,656

GCF of Fractions 157/26,656/1362 is 1/17706

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

Greatest Common Factor of 157,656 By Matching Biggest Common Factor Method

Greatest Common Factor of 157,656 By Matching Biggest Common Factor Method

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Greatest Common Factor

We found the factors 157,656 . The biggest common factor number is the GCF number.
So the greatest common factor 157,656 is 1.

Lets's calculate LCM of 26,1362

2 26, 1362
13, 681

∴ So the LCM of the given numbers is 2 x 13 x 681 = 17706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17706

Therefore, the GCF of Fractions 157/26,656/1362 is 1/17706

Least Common Multiple of 26,1362 with GCF Formula

Least Common Multiple of 26,1362 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 26,1362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,1362) = 2

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

GCF(26,1362) x common factors =2 x 1 = 2

LCM(26,1362) = ( 26 × 1362 ) / 2

LCM(26,1362) = 35412 / 2

LCM(26,1362) = 17706


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 157/26, 656/1362

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 157/26, 656/1362?

Answer: GCF of Numerators as per given numbers 157/26, 656/1362 is

GCF of Numerators i.e. for 157,656 is 1

LCM of denominators i.e. for 26,1362 is 17706.

Thus, GCF of Fractions is 1/17706.Finally, GCF of Fractions for 157/26, 656/1362 is 1/17706.