Greatest Common Factor of 8832/52, 8124/408

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8832/52, 8124/408

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 8832/52,8124/408

Given fractions are 8832/52,8124/408

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 8832,8124

Greatest Common Factor of Numerators i.e. GCF of 8832,8124 is 12 .

LCM of Denominators means LCM of 52,408 as per the given fractions.

LCM of 52,408 is 5304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8832,8124

GCF of Fractions 8832/52,8124/408 is 12/5304

2 8832, 8124
2 4416, 4062
3 2208, 2031
736, 677

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8832,8124 By Matching Biggest Common Factor Method

Greatest Common Factor of 8832,8124 By Matching Biggest Common Factor Method

Factors of 8832

List of positive integer factors of 8832 that divides 8832 without a remainder.

1,2,3,4,6,8,12,16,23,24,32,46,48,64,69,92,96,128,138,184,192,276,368,384,552,736,1104,1472,2208,2944,4416,8832

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1,2,3,4,6,12,677,1354,2031,2708,4062,8124

Greatest Common Factor

We found the factors 8832,8124 . The biggest common factor number is the GCF number.
So the greatest common factor 8832,8124 is 12.

Lets's calculate LCM of 52,408

2 52, 408
2 26, 204
13, 102

∴ So the LCM of the given numbers is 2 x 2 x 13 x 102 = 5304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/5304

Therefore, the GCF of Fractions 8832/52,8124/408 is 12/5304

Least Common Multiple of 52,408 with GCF Formula

Least Common Multiple of 52,408 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 52,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,408) = 4

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

GCF(52,408) x common factors =4 x 1 = 4

LCM(52,408) = ( 52 × 408 ) / 4

LCM(52,408) = 21216 / 4

LCM(52,408) = 5304


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 8832/52, 8124/408

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 8832/52, 8124/408?

Answer: GCF of Numerators as per given numbers 8832/52, 8124/408 is

GCF of Numerators i.e. for 8832,8124 is 12

LCM of denominators i.e. for 52,408 is 5304.

Thus, GCF of Fractions is 12/5304.Finally, GCF of Fractions for 8832/52, 8124/408 is 12/5304.