Greatest Common Factor of 7382/48, 9564/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7382/48, 9564/189

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 7382/48,9564/189

Given fractions are 7382/48,9564/189

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 7382,9564

Greatest Common Factor of Numerators i.e. GCF of 7382,9564 is 2 .

LCM of Denominators means LCM of 48,189 as per the given fractions.

LCM of 48,189 is 3024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7382,9564

GCF of Fractions 7382/48,9564/189 is 2/3024

2 7382, 9564
3691, 4782

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7382,9564 By Matching Biggest Common Factor Method

Greatest Common Factor of 7382,9564 By Matching Biggest Common Factor Method

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Factors of 9564

List of positive integer factors of 9564 that divides 9564 without a remainder.

1,2,3,4,6,12,797,1594,2391,3188,4782,9564

Greatest Common Factor

We found the factors 7382,9564 . The biggest common factor number is the GCF number.
So the greatest common factor 7382,9564 is 2.

Lets's calculate LCM of 48,189

3 48, 189
16, 63

∴ So the LCM of the given numbers is 3 x 16 x 63 = 3024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3024

Therefore, the GCF of Fractions 7382/48,9564/189 is 2/3024

Least Common Multiple of 48,189 with GCF Formula

Least Common Multiple of 48,189 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 48,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,189) = 3

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

GCF(48,189) x common factors =3 x 1 = 3

LCM(48,189) = ( 48 × 189 ) / 3

LCM(48,189) = 9072 / 3

LCM(48,189) = 3024


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 7382/48, 9564/189

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 7382/48, 9564/189?

Answer: GCF of Numerators as per given numbers 7382/48, 9564/189 is

GCF of Numerators i.e. for 7382,9564 is 2

LCM of denominators i.e. for 48,189 is 3024.

Thus, GCF of Fractions is 2/3024.Finally, GCF of Fractions for 7382/48, 9564/189 is 2/3024.