Greatest Common Factor of 272/535, 4901/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/535, 4901/520

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 272/535,4901/520

Given fractions are 272/535,4901/520

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 272,4901

Greatest Common Factor of Numerators i.e. GCF of 272,4901 is 1 .

LCM of Denominators means LCM of 535,520 as per the given fractions.

LCM of 535,520 is 55640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,4901

GCF of Fractions 272/535,4901/520 is 1/55640

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

Greatest Common Factor of 272,4901 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,4901 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 4901

List of positive integer factors of 4901 that divides 4901 without a remainder.

1,13,29,169,377,4901

Greatest Common Factor

We found the factors 272,4901 . The biggest common factor number is the GCF number.
So the greatest common factor 272,4901 is 1.

Lets's calculate LCM of 535,520

5 535, 520
107, 104

∴ So the LCM of the given numbers is 5 x 107 x 104 = 55640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55640

Therefore, the GCF of Fractions 272/535,4901/520 is 1/55640

Least Common Multiple of 535,520 with GCF Formula

Least Common Multiple of 535,520 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 535,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(535,520) = 5

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

GCF(535,520) x common factors =5 x 1 = 5

LCM(535,520) = ( 535 × 520 ) / 5

LCM(535,520) = 278200 / 5

LCM(535,520) = 55640


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 272/535, 4901/520

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 272/535, 4901/520?

Answer: GCF of Numerators as per given numbers 272/535, 4901/520 is

GCF of Numerators i.e. for 272,4901 is 1

LCM of denominators i.e. for 535,520 is 55640.

Thus, GCF of Fractions is 1/55640.Finally, GCF of Fractions for 272/535, 4901/520 is 1/55640.