Greatest Common Factor of 272/344, 7844/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/344, 7844/242

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 272/344,7844/242

Given fractions are 272/344,7844/242

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 272,7844

Greatest Common Factor of Numerators i.e. GCF of 272,7844 is 4 .

LCM of Denominators means LCM of 344,242 as per the given fractions.

LCM of 344,242 is 41624 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,7844

GCF of Fractions 272/344,7844/242 is 4/41624

2 272, 7844
2 136, 3922
68, 1961

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 272,7844 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,7844 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 7844

List of positive integer factors of 7844 that divides 7844 without a remainder.

1,2,4,37,53,74,106,148,212,1961,3922,7844

Greatest Common Factor

We found the factors 272,7844 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7844 is 4.

Lets's calculate LCM of 344,242

2 344, 242
172, 121

∴ So the LCM of the given numbers is 2 x 172 x 121 = 41624

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/41624

Therefore, the GCF of Fractions 272/344,7844/242 is 4/41624

Least Common Multiple of 344,242 with GCF Formula

Least Common Multiple of 344,242 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 344,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(344,242) = 2

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

GCF(344,242) x common factors =2 x 1 = 2

LCM(344,242) = ( 344 × 242 ) / 2

LCM(344,242) = 83248 / 2

LCM(344,242) = 41624


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 272/344, 7844/242

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 272/344, 7844/242?

Answer: GCF of Numerators as per given numbers 272/344, 7844/242 is

GCF of Numerators i.e. for 272,7844 is 4

LCM of denominators i.e. for 344,242 is 41624.

Thus, GCF of Fractions is 4/41624.Finally, GCF of Fractions for 272/344, 7844/242 is 4/41624.