Greatest Common Factor of 4423/96, 2538/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4423/96, 2538/228

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 4423/96,2538/228

Given fractions are 4423/96,2538/228

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 4423,2538

Greatest Common Factor of Numerators i.e. GCF of 4423,2538 is 1 .

LCM of Denominators means LCM of 96,228 as per the given fractions.

LCM of 96,228 is 1824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4423,2538

GCF of Fractions 4423/96,2538/228 is 1/1824

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

Greatest Common Factor of 4423,2538 By Matching Biggest Common Factor Method

Greatest Common Factor of 4423,2538 By Matching Biggest Common Factor Method

Factors of 4423

List of positive integer factors of 4423 that divides 4423 without a remainder.

1,4423

Factors of 2538

List of positive integer factors of 2538 that divides 2538 without a remainder.

1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538

Greatest Common Factor

We found the factors 4423,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 4423,2538 is 1.

Lets's calculate LCM of 96,228

2 96, 228
2 48, 114
3 24, 57
8, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 8 x 19 = 1824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1824

Therefore, the GCF of Fractions 4423/96,2538/228 is 1/1824

Least Common Multiple of 96,228 with GCF Formula

Least Common Multiple of 96,228 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 96,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,228) = 12

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

GCF(96,228) x common factors =12 x 1 = 12

LCM(96,228) = ( 96 × 228 ) / 12

LCM(96,228) = 21888 / 12

LCM(96,228) = 1824


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 4423/96, 2538/228

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 4423/96, 2538/228?

Answer: GCF of Numerators as per given numbers 4423/96, 2538/228 is

GCF of Numerators i.e. for 4423,2538 is 1

LCM of denominators i.e. for 96,228 is 1824.

Thus, GCF of Fractions is 1/1824.Finally, GCF of Fractions for 4423/96, 2538/228 is 1/1824.