Greatest Common Factor of 273/36, 260/6149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/36, 260/6149

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 273/36,260/6149

Given fractions are 273/36,260/6149

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 273,260

Greatest Common Factor of Numerators i.e. GCF of 273,260 is 13 .

LCM of Denominators means LCM of 36,6149 as per the given fractions.

LCM of 36,6149 is 221364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,260

GCF of Fractions 273/36,260/6149 is 13/221364

13 273, 260
21, 20

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 273,260 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,260 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors 273,260 . The biggest common factor number is the GCF number.
So the greatest common factor 273,260 is 13.

Lets's calculate LCM of 36,6149

Given numbers has no common factors except 1. So, there LCM is their product i.e 221364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/221364

Therefore, the GCF of Fractions 273/36,260/6149 is 13/221364

Least Common Multiple of 36,6149 with GCF Formula

Least Common Multiple of 36,6149 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 36,6149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,6149) = 1

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

GCF(36,6149) x common factors =1 x 1 = 1

LCM(36,6149) = ( 36 × 6149 ) / 1

LCM(36,6149) = 221364 / 1

LCM(36,6149) = 221364


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 273/36, 260/6149

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 273/36, 260/6149?

Answer: GCF of Numerators as per given numbers 273/36, 260/6149 is

GCF of Numerators i.e. for 273,260 is 13

LCM of denominators i.e. for 36,6149 is 221364.

Thus, GCF of Fractions is 13/221364.Finally, GCF of Fractions for 273/36, 260/6149 is 13/221364.