Greatest Common Factor of 273/13, 364/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/13, 364/250

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 273/13,364/250

Given fractions are 273/13,364/250

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 273,364

Greatest Common Factor of Numerators i.e. GCF of 273,364 is 91 .

LCM of Denominators means LCM of 13,250 as per the given fractions.

LCM of 13,250 is 3250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,364

GCF of Fractions 273/13,364/250 is 91/3250

7 273, 364
13 39, 52
3, 4

∴ So the GCF of the given numbers is 7 x 13 = 91

Greatest Common Factor of 273,364 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,364 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 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Greatest Common Factor

We found the factors 273,364 . The biggest common factor number is the GCF number.
So the greatest common factor 273,364 is 91.

Lets's calculate LCM of 13,250

Given numbers has no common factors except 1. So, there LCM is their product i.e 3250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 91/3250

Therefore, the GCF of Fractions 273/13,364/250 is 91/3250

Least Common Multiple of 13,250 with GCF Formula

Least Common Multiple of 13,250 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 13,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,250) = 1

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

GCF(13,250) x common factors =1 x 1 = 1

LCM(13,250) = ( 13 × 250 ) / 1

LCM(13,250) = 3250 / 1

LCM(13,250) = 3250


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 273/13, 364/250

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 273/13, 364/250?

Answer: GCF of Numerators as per given numbers 273/13, 364/250 is

GCF of Numerators i.e. for 273,364 is 91

LCM of denominators i.e. for 13,250 is 3250.

Thus, GCF of Fractions is 91/3250.Finally, GCF of Fractions for 273/13, 364/250 is 91/3250.