Greatest Common Factor of 272/3957, 205/7744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/3957, 205/7744

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 272/3957,205/7744

Given fractions are 272/3957,205/7744

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 272,205

Greatest Common Factor of Numerators i.e. GCF of 272,205 is 1 .

LCM of Denominators means LCM of 3957,7744 as per the given fractions.

LCM of 3957,7744 is 30643008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,205

GCF of Fractions 272/3957,205/7744 is 1/30643008

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

Greatest Common Factor of 272,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,205 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 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 272,205 . The biggest common factor number is the GCF number.
So the greatest common factor 272,205 is 1.

Lets's calculate LCM of 3957,7744

Given numbers has no common factors except 1. So, there LCM is their product i.e 30643008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30643008

Therefore, the GCF of Fractions 272/3957,205/7744 is 1/30643008

Least Common Multiple of 3957,7744 with GCF Formula

Least Common Multiple of 3957,7744 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 3957,7744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3957,7744) = 1

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

GCF(3957,7744) x common factors =1 x 1 = 1

LCM(3957,7744) = ( 3957 × 7744 ) / 1

LCM(3957,7744) = 30643008 / 1

LCM(3957,7744) = 30643008


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 272/3957, 205/7744

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 272/3957, 205/7744?

Answer: GCF of Numerators as per given numbers 272/3957, 205/7744 is

GCF of Numerators i.e. for 272,205 is 1

LCM of denominators i.e. for 3957,7744 is 30643008.

Thus, GCF of Fractions is 1/30643008.Finally, GCF of Fractions for 272/3957, 205/7744 is 1/30643008.