Greatest Common Factor of 4062/96, 9379/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4062/96, 9379/224

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 4062/96,9379/224

Given fractions are 4062/96,9379/224

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 4062,9379

Greatest Common Factor of Numerators i.e. GCF of 4062,9379 is 1 .

LCM of Denominators means LCM of 96,224 as per the given fractions.

LCM of 96,224 is 672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4062,9379

GCF of Fractions 4062/96,9379/224 is 1/672

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4062,9379 By Matching Biggest Common Factor Method

Greatest Common Factor of 4062,9379 By Matching Biggest Common Factor Method

Factors of 4062

List of positive integer factors of 4062 that divides 4062 without a remainder.

1,2,3,6,677,1354,2031,4062

Factors of 9379

List of positive integer factors of 9379 that divides 9379 without a remainder.

1,83,113,9379

Greatest Common Factor

We found the factors 4062,9379 . The biggest common factor number is the GCF number.
So the greatest common factor 4062,9379 is 1.

Lets's calculate LCM of 96,224

2 96, 224
2 48, 112
2 24, 56
2 12, 28
2 6, 14
3, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 7 = 672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/672

Therefore, the GCF of Fractions 4062/96,9379/224 is 1/672

Least Common Multiple of 96,224 with GCF Formula

Least Common Multiple of 96,224 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 96,224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,224) = 32

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

GCF(96,224) x common factors =32 x 1 = 32

LCM(96,224) = ( 96 × 224 ) / 32

LCM(96,224) = 21504 / 32

LCM(96,224) = 672


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 4062/96, 9379/224

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 4062/96, 9379/224?

Answer: GCF of Numerators as per given numbers 4062/96, 9379/224 is

GCF of Numerators i.e. for 4062,9379 is 1

LCM of denominators i.e. for 96,224 is 672.

Thus, GCF of Fractions is 1/672.Finally, GCF of Fractions for 4062/96, 9379/224 is 1/672.