Greatest Common Factor of 9294/253, 5273/2544

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9294/253, 5273/2544

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 9294/253,5273/2544

Given fractions are 9294/253,5273/2544

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 9294,5273

Greatest Common Factor of Numerators i.e. GCF of 9294,5273 is 1 .

LCM of Denominators means LCM of 253,2544 as per the given fractions.

LCM of 253,2544 is 643632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9294,5273

GCF of Fractions 9294/253,5273/2544 is 1/643632

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

Greatest Common Factor of 9294,5273 By Matching Biggest Common Factor Method

Greatest Common Factor of 9294,5273 By Matching Biggest Common Factor Method

Factors of 9294

List of positive integer factors of 9294 that divides 9294 without a remainder.

1,2,3,6,1549,3098,4647,9294

Factors of 5273

List of positive integer factors of 5273 that divides 5273 without a remainder.

1,5273

Greatest Common Factor

We found the factors 9294,5273 . The biggest common factor number is the GCF number.
So the greatest common factor 9294,5273 is 1.

Lets's calculate LCM of 253,2544

Given numbers has no common factors except 1. So, there LCM is their product i.e 643632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/643632

Therefore, the GCF of Fractions 9294/253,5273/2544 is 1/643632

Least Common Multiple of 253,2544 with GCF Formula

Least Common Multiple of 253,2544 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 253,2544 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,2544) = 1

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

GCF(253,2544) x common factors =1 x 1 = 1

LCM(253,2544) = ( 253 × 2544 ) / 1

LCM(253,2544) = 643632 / 1

LCM(253,2544) = 643632


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 9294/253, 5273/2544

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 9294/253, 5273/2544?

Answer: GCF of Numerators as per given numbers 9294/253, 5273/2544 is

GCF of Numerators i.e. for 9294,5273 is 1

LCM of denominators i.e. for 253,2544 is 643632.

Thus, GCF of Fractions is 1/643632.Finally, GCF of Fractions for 9294/253, 5273/2544 is 1/643632.