Greatest Common Factor of 10/157, 436/237, 961/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 10/157, 436/237, 961/238

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 10/157,436/237,961/238

Given fractions are 10/157,436/237,961/238

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 10,436,961

Greatest Common Factor of Numerators i.e. GCF of 10,436,961 is 1 .

LCM of Denominators means LCM of 157,237,238 as per the given fractions.

LCM of 157,237,238 is 8855742 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 10,436,961

GCF of Fractions 10/157,436/237,961/238 is 1/8855742

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

Greatest Common Factor of 10,436,961 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,436,961 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 436

List of positive integer factors of 436 that divides 436 without a remainder.

1,2,4,109,218,436

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Greatest Common Factor

We found the factors 10,436,961 . The biggest common factor number is the GCF number.
So the greatest common factor 10,436,961 is 1.

Lets's calculate LCM of 157,237,238

Given numbers has no common factors except 1. So, there LCM is their product i.e 8855742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8855742

Therefore, the GCF of Fractions 10/157,436/237,961/238 is 1/8855742

Least Common Multiple of 157,237,238 with GCF Formula

Least Common Multiple of 157,237,238 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 157,237,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(157,237,238) = 1

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

GCF(157,237,238) x common factors =1 x 1 = 1

LCM(157,237,238) = ( 157 × 237 × 238 ) / 1

LCM(157,237,238) = 8855742 / 1

LCM(157,237,238) = 8855742


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 10/157, 436/237, 961/238

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 10/157, 436/237, 961/238?

Answer: GCF of Numerators as per given numbers 10/157, 436/237, 961/238 is

GCF of Numerators i.e. for 10,436,961 is 1

LCM of denominators i.e. for 157,237,238 is 8855742.

Thus, GCF of Fractions is 1/8855742.Finally, GCF of Fractions for 10/157, 436/237, 961/238 is 1/8855742.