Greatest Common Factor of 9325/96, 1537/909

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9325/96, 1537/909

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 9325/96,1537/909

Given fractions are 9325/96,1537/909

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 9325,1537

Greatest Common Factor of Numerators i.e. GCF of 9325,1537 is 1 .

LCM of Denominators means LCM of 96,909 as per the given fractions.

LCM of 96,909 is 29088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9325,1537

GCF of Fractions 9325/96,1537/909 is 1/29088

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

Greatest Common Factor of 9325,1537 By Matching Biggest Common Factor Method

Greatest Common Factor of 9325,1537 By Matching Biggest Common Factor Method

Factors of 9325

List of positive integer factors of 9325 that divides 9325 without a remainder.

1,5,25,373,1865,9325

Factors of 1537

List of positive integer factors of 1537 that divides 1537 without a remainder.

1,29,53,1537

Greatest Common Factor

We found the factors 9325,1537 . The biggest common factor number is the GCF number.
So the greatest common factor 9325,1537 is 1.

Lets's calculate LCM of 96,909

3 96, 909
32, 303

∴ So the LCM of the given numbers is 3 x 32 x 303 = 29088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29088

Therefore, the GCF of Fractions 9325/96,1537/909 is 1/29088

Least Common Multiple of 96,909 with GCF Formula

Least Common Multiple of 96,909 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 96,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,909) = 3

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

GCF(96,909) x common factors =3 x 1 = 3

LCM(96,909) = ( 96 × 909 ) / 3

LCM(96,909) = 87264 / 3

LCM(96,909) = 29088


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 9325/96, 1537/909

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 9325/96, 1537/909?

Answer: GCF of Numerators as per given numbers 9325/96, 1537/909 is

GCF of Numerators i.e. for 9325,1537 is 1

LCM of denominators i.e. for 96,909 is 29088.

Thus, GCF of Fractions is 1/29088.Finally, GCF of Fractions for 9325/96, 1537/909 is 1/29088.