Greatest Common Factor of 9732/96, 9553/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9732/96, 9553/675

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 9732/96,9553/675

Given fractions are 9732/96,9553/675

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 9732,9553

Greatest Common Factor of Numerators i.e. GCF of 9732,9553 is 1 .

LCM of Denominators means LCM of 96,675 as per the given fractions.

LCM of 96,675 is 21600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9732,9553

GCF of Fractions 9732/96,9553/675 is 1/21600

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

Greatest Common Factor of 9732,9553 By Matching Biggest Common Factor Method

Greatest Common Factor of 9732,9553 By Matching Biggest Common Factor Method

Factors of 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1,2,3,4,6,12,811,1622,2433,3244,4866,9732

Factors of 9553

List of positive integer factors of 9553 that divides 9553 without a remainder.

1,41,233,9553

Greatest Common Factor

We found the factors 9732,9553 . The biggest common factor number is the GCF number.
So the greatest common factor 9732,9553 is 1.

Lets's calculate LCM of 96,675

3 96, 675
32, 225

∴ So the LCM of the given numbers is 3 x 32 x 225 = 21600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21600

Therefore, the GCF of Fractions 9732/96,9553/675 is 1/21600

Least Common Multiple of 96,675 with GCF Formula

Least Common Multiple of 96,675 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 96,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,675) = 3

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

GCF(96,675) x common factors =3 x 1 = 3

LCM(96,675) = ( 96 × 675 ) / 3

LCM(96,675) = 64800 / 3

LCM(96,675) = 21600


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 9732/96, 9553/675

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 9732/96, 9553/675?

Answer: GCF of Numerators as per given numbers 9732/96, 9553/675 is

GCF of Numerators i.e. for 9732,9553 is 1

LCM of denominators i.e. for 96,675 is 21600.

Thus, GCF of Fractions is 1/21600.Finally, GCF of Fractions for 9732/96, 9553/675 is 1/21600.