Greatest Common Factor of 273/278, 7501/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/278, 7501/204

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 273/278,7501/204

Given fractions are 273/278,7501/204

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 273,7501

Greatest Common Factor of Numerators i.e. GCF of 273,7501 is 13 .

LCM of Denominators means LCM of 278,204 as per the given fractions.

LCM of 278,204 is 28356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,7501

GCF of Fractions 273/278,7501/204 is 13/28356

13 273, 7501
21, 577

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

Greatest Common Factor of 273,7501 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,7501 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 7501

List of positive integer factors of 7501 that divides 7501 without a remainder.

1,13,577,7501

Greatest Common Factor

We found the factors 273,7501 . The biggest common factor number is the GCF number.
So the greatest common factor 273,7501 is 13.

Lets's calculate LCM of 278,204

2 278, 204
139, 102

∴ So the LCM of the given numbers is 2 x 139 x 102 = 28356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/28356

Therefore, the GCF of Fractions 273/278,7501/204 is 13/28356

Least Common Multiple of 278,204 with GCF Formula

Least Common Multiple of 278,204 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 278,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,204) = 2

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

GCF(278,204) x common factors =2 x 1 = 2

LCM(278,204) = ( 278 × 204 ) / 2

LCM(278,204) = 56712 / 2

LCM(278,204) = 28356


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 273/278, 7501/204

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 273/278, 7501/204?

Answer: GCF of Numerators as per given numbers 273/278, 7501/204 is

GCF of Numerators i.e. for 273,7501 is 13

LCM of denominators i.e. for 278,204 is 28356.

Thus, GCF of Fractions is 13/28356.Finally, GCF of Fractions for 273/278, 7501/204 is 13/28356.