Greatest Common Factor of 231/56, 9922/945

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 231/56, 9922/945

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 231/56,9922/945

Given fractions are 231/56,9922/945

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 231,9922

Greatest Common Factor of Numerators i.e. GCF of 231,9922 is 11 .

LCM of Denominators means LCM of 56,945 as per the given fractions.

LCM of 56,945 is 7560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 231,9922

GCF of Fractions 231/56,9922/945 is 11/7560

11 231, 9922
21, 902

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 231,9922 By Matching Biggest Common Factor Method

Greatest Common Factor of 231,9922 By Matching Biggest Common Factor Method

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1,2,11,22,41,82,121,242,451,902,4961,9922

Greatest Common Factor

We found the factors 231,9922 . The biggest common factor number is the GCF number.
So the greatest common factor 231,9922 is 11.

Lets's calculate LCM of 56,945

7 56, 945
8, 135

∴ So the LCM of the given numbers is 7 x 8 x 135 = 7560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7560

Therefore, the GCF of Fractions 231/56,9922/945 is 11/7560

Least Common Multiple of 56,945 with GCF Formula

Least Common Multiple of 56,945 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 56,945 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,945) = 7

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

GCF(56,945) x common factors =7 x 1 = 7

LCM(56,945) = ( 56 × 945 ) / 7

LCM(56,945) = 52920 / 7

LCM(56,945) = 7560


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 231/56, 9922/945

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 231/56, 9922/945?

Answer: GCF of Numerators as per given numbers 231/56, 9922/945 is

GCF of Numerators i.e. for 231,9922 is 11

LCM of denominators i.e. for 56,945 is 7560.

Thus, GCF of Fractions is 11/7560.Finally, GCF of Fractions for 231/56, 9922/945 is 11/7560.