Greatest Common Factor of 9268/72, 9854/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9268/72, 9854/242

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 9268/72,9854/242

Given fractions are 9268/72,9854/242

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 9268,9854

Greatest Common Factor of Numerators i.e. GCF of 9268,9854 is 2 .

LCM of Denominators means LCM of 72,242 as per the given fractions.

LCM of 72,242 is 8712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9268,9854

GCF of Fractions 9268/72,9854/242 is 2/8712

2 9268, 9854
4634, 4927

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

Greatest Common Factor of 9268,9854 By Matching Biggest Common Factor Method

Greatest Common Factor of 9268,9854 By Matching Biggest Common Factor Method

Factors of 9268

List of positive integer factors of 9268 that divides 9268 without a remainder.

1,2,4,7,14,28,331,662,1324,2317,4634,9268

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1,2,13,26,379,758,4927,9854

Greatest Common Factor

We found the factors 9268,9854 . The biggest common factor number is the GCF number.
So the greatest common factor 9268,9854 is 2.

Lets's calculate LCM of 72,242

2 72, 242
36, 121

∴ So the LCM of the given numbers is 2 x 36 x 121 = 8712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8712

Therefore, the GCF of Fractions 9268/72,9854/242 is 2/8712

Least Common Multiple of 72,242 with GCF Formula

Least Common Multiple of 72,242 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 72,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,242) = 2

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

GCF(72,242) x common factors =2 x 1 = 2

LCM(72,242) = ( 72 × 242 ) / 2

LCM(72,242) = 17424 / 2

LCM(72,242) = 8712


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 9268/72, 9854/242

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 9268/72, 9854/242?

Answer: GCF of Numerators as per given numbers 9268/72, 9854/242 is

GCF of Numerators i.e. for 9268,9854 is 2

LCM of denominators i.e. for 72,242 is 8712.

Thus, GCF of Fractions is 2/8712.Finally, GCF of Fractions for 9268/72, 9854/242 is 2/8712.