Greatest Common Factor of 8424/633, 2157/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8424/633, 2157/132

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 8424/633,2157/132

Given fractions are 8424/633,2157/132

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 8424,2157

Greatest Common Factor of Numerators i.e. GCF of 8424,2157 is 3 .

LCM of Denominators means LCM of 633,132 as per the given fractions.

LCM of 633,132 is 27852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8424,2157

GCF of Fractions 8424/633,2157/132 is 3/27852

3 8424, 2157
2808, 719

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

Greatest Common Factor of 8424,2157 By Matching Biggest Common Factor Method

Greatest Common Factor of 8424,2157 By Matching Biggest Common Factor Method

Factors of 8424

List of positive integer factors of 8424 that divides 8424 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,27,36,39,52,54,72,78,81,104,108,117,156,162,216,234,312,324,351,468,648,702,936,1053,1404,2106,2808,4212,8424

Factors of 2157

List of positive integer factors of 2157 that divides 2157 without a remainder.

1,3,719,2157

Greatest Common Factor

We found the factors 8424,2157 . The biggest common factor number is the GCF number.
So the greatest common factor 8424,2157 is 3.

Lets's calculate LCM of 633,132

3 633, 132
211, 44

∴ So the LCM of the given numbers is 3 x 211 x 44 = 27852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/27852

Therefore, the GCF of Fractions 8424/633,2157/132 is 3/27852

Least Common Multiple of 633,132 with GCF Formula

Least Common Multiple of 633,132 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 633,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,132) = 3

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

GCF(633,132) x common factors =3 x 1 = 3

LCM(633,132) = ( 633 × 132 ) / 3

LCM(633,132) = 83556 / 3

LCM(633,132) = 27852


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 8424/633, 2157/132

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 8424/633, 2157/132?

Answer: GCF of Numerators as per given numbers 8424/633, 2157/132 is

GCF of Numerators i.e. for 8424,2157 is 3

LCM of denominators i.e. for 633,132 is 27852.

Thus, GCF of Fractions is 3/27852.Finally, GCF of Fractions for 8424/633, 2157/132 is 3/27852.