Greatest Common Factor of 273/487, 1271/530

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/487, 1271/530

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 273/487,1271/530

Given fractions are 273/487,1271/530

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 273,1271

Greatest Common Factor of Numerators i.e. GCF of 273,1271 is 1 .

LCM of Denominators means LCM of 487,530 as per the given fractions.

LCM of 487,530 is 258110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,1271

GCF of Fractions 273/487,1271/530 is 1/258110

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

Greatest Common Factor of 273,1271 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,1271 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 1271

List of positive integer factors of 1271 that divides 1271 without a remainder.

1,31,41,1271

Greatest Common Factor

We found the factors 273,1271 . The biggest common factor number is the GCF number.
So the greatest common factor 273,1271 is 1.

Lets's calculate LCM of 487,530

Given numbers has no common factors except 1. So, there LCM is their product i.e 258110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/258110

Therefore, the GCF of Fractions 273/487,1271/530 is 1/258110

Least Common Multiple of 487,530 with GCF Formula

Least Common Multiple of 487,530 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 487,530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(487,530) = 1

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

GCF(487,530) x common factors =1 x 1 = 1

LCM(487,530) = ( 487 × 530 ) / 1

LCM(487,530) = 258110 / 1

LCM(487,530) = 258110


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 273/487, 1271/530

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 273/487, 1271/530?

Answer: GCF of Numerators as per given numbers 273/487, 1271/530 is

GCF of Numerators i.e. for 273,1271 is 1

LCM of denominators i.e. for 487,530 is 258110.

Thus, GCF of Fractions is 1/258110.Finally, GCF of Fractions for 273/487, 1271/530 is 1/258110.