Greatest Common Factor of 9112/48, 6392/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9112/48, 6392/867

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 9112/48,6392/867

Given fractions are 9112/48,6392/867

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 9112,6392

Greatest Common Factor of Numerators i.e. GCF of 9112,6392 is 136 .

LCM of Denominators means LCM of 48,867 as per the given fractions.

LCM of 48,867 is 13872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9112,6392

GCF of Fractions 9112/48,6392/867 is 136/13872

2 9112, 6392
2 4556, 3196
2 2278, 1598
17 1139, 799
67, 47

∴ So the GCF of the given numbers is 2 x 2 x 2 x 17 = 136

Greatest Common Factor of 9112,6392 By Matching Biggest Common Factor Method

Greatest Common Factor of 9112,6392 By Matching Biggest Common Factor Method

Factors of 9112

List of positive integer factors of 9112 that divides 9112 without a remainder.

1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112

Factors of 6392

List of positive integer factors of 6392 that divides 6392 without a remainder.

1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392

Greatest Common Factor

We found the factors 9112,6392 . The biggest common factor number is the GCF number.
So the greatest common factor 9112,6392 is 136.

Lets's calculate LCM of 48,867

3 48, 867
16, 289

∴ So the LCM of the given numbers is 3 x 16 x 289 = 13872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 136/13872

Therefore, the GCF of Fractions 9112/48,6392/867 is 136/13872

Least Common Multiple of 48,867 with GCF Formula

Least Common Multiple of 48,867 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 48,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,867) = 3

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

GCF(48,867) x common factors =3 x 1 = 3

LCM(48,867) = ( 48 × 867 ) / 3

LCM(48,867) = 41616 / 3

LCM(48,867) = 13872


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 9112/48, 6392/867

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 9112/48, 6392/867?

Answer: GCF of Numerators as per given numbers 9112/48, 6392/867 is

GCF of Numerators i.e. for 9112,6392 is 136

LCM of denominators i.e. for 48,867 is 13872.

Thus, GCF of Fractions is 136/13872.Finally, GCF of Fractions for 9112/48, 6392/867 is 136/13872.