Greatest Common Factor of 9924/151, 2163/7493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9924/151, 2163/7493

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 9924/151,2163/7493

Given fractions are 9924/151,2163/7493

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 9924,2163

Greatest Common Factor of Numerators i.e. GCF of 9924,2163 is 3 .

LCM of Denominators means LCM of 151,7493 as per the given fractions.

LCM of 151,7493 is 1131443 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9924,2163

GCF of Fractions 9924/151,2163/7493 is 3/1131443

3 9924, 2163
3308, 721

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9924,2163 By Matching Biggest Common Factor Method

Greatest Common Factor of 9924,2163 By Matching Biggest Common Factor Method

Factors of 9924

List of positive integer factors of 9924 that divides 9924 without a remainder.

1,2,3,4,6,12,827,1654,2481,3308,4962,9924

Factors of 2163

List of positive integer factors of 2163 that divides 2163 without a remainder.

1,3,7,21,103,309,721,2163

Greatest Common Factor

We found the factors 9924,2163 . The biggest common factor number is the GCF number.
So the greatest common factor 9924,2163 is 3.

Lets's calculate LCM of 151,7493

Given numbers has no common factors except 1. So, there LCM is their product i.e 1131443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1131443

Therefore, the GCF of Fractions 9924/151,2163/7493 is 3/1131443

Least Common Multiple of 151,7493 with GCF Formula

Least Common Multiple of 151,7493 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 151,7493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(151,7493) = 1

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

GCF(151,7493) x common factors =1 x 1 = 1

LCM(151,7493) = ( 151 × 7493 ) / 1

LCM(151,7493) = 1131443 / 1

LCM(151,7493) = 1131443


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 9924/151, 2163/7493

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 9924/151, 2163/7493?

Answer: GCF of Numerators as per given numbers 9924/151, 2163/7493 is

GCF of Numerators i.e. for 9924,2163 is 3

LCM of denominators i.e. for 151,7493 is 1131443.

Thus, GCF of Fractions is 3/1131443.Finally, GCF of Fractions for 9924/151, 2163/7493 is 3/1131443.