Greatest Common Factor of 7352/89, 9754/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7352/89, 9754/132

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 7352/89,9754/132

Given fractions are 7352/89,9754/132

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 7352,9754

Greatest Common Factor of Numerators i.e. GCF of 7352,9754 is 2 .

LCM of Denominators means LCM of 89,132 as per the given fractions.

LCM of 89,132 is 11748 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7352,9754

GCF of Fractions 7352/89,9754/132 is 2/11748

2 7352, 9754
3676, 4877

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

Greatest Common Factor of 7352,9754 By Matching Biggest Common Factor Method

Greatest Common Factor of 7352,9754 By Matching Biggest Common Factor Method

Factors of 7352

List of positive integer factors of 7352 that divides 7352 without a remainder.

1,2,4,8,919,1838,3676,7352

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1,2,4877,9754

Greatest Common Factor

We found the factors 7352,9754 . The biggest common factor number is the GCF number.
So the greatest common factor 7352,9754 is 2.

Lets's calculate LCM of 89,132

Given numbers has no common factors except 1. So, there LCM is their product i.e 11748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11748

Therefore, the GCF of Fractions 7352/89,9754/132 is 2/11748

Least Common Multiple of 89,132 with GCF Formula

Least Common Multiple of 89,132 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 89,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,132) = 1

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

GCF(89,132) x common factors =1 x 1 = 1

LCM(89,132) = ( 89 × 132 ) / 1

LCM(89,132) = 11748 / 1

LCM(89,132) = 11748


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 7352/89, 9754/132

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 7352/89, 9754/132?

Answer: GCF of Numerators as per given numbers 7352/89, 9754/132 is

GCF of Numerators i.e. for 7352,9754 is 2

LCM of denominators i.e. for 89,132 is 11748.

Thus, GCF of Fractions is 2/11748.Finally, GCF of Fractions for 7352/89, 9754/132 is 2/11748.