Greatest Common Factor of 273/548, 6812/1881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 273/548, 6812/1881

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 273/548,6812/1881

Given fractions are 273/548,6812/1881

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 273,6812

Greatest Common Factor of Numerators i.e. GCF of 273,6812 is 13 .

LCM of Denominators means LCM of 548,1881 as per the given fractions.

LCM of 548,1881 is 1030788 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 273,6812

GCF of Fractions 273/548,6812/1881 is 13/1030788

13 273, 6812
21, 524

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

Greatest Common Factor of 273,6812 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,6812 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 6812

List of positive integer factors of 6812 that divides 6812 without a remainder.

1,2,4,13,26,52,131,262,524,1703,3406,6812

Greatest Common Factor

We found the factors 273,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 273,6812 is 13.

Lets's calculate LCM of 548,1881

Given numbers has no common factors except 1. So, there LCM is their product i.e 1030788

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1030788

Therefore, the GCF of Fractions 273/548,6812/1881 is 13/1030788

Least Common Multiple of 548,1881 with GCF Formula

Least Common Multiple of 548,1881 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 548,1881 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,1881) = 1

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

GCF(548,1881) x common factors =1 x 1 = 1

LCM(548,1881) = ( 548 × 1881 ) / 1

LCM(548,1881) = 1030788 / 1

LCM(548,1881) = 1030788


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 273/548, 6812/1881

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 273/548, 6812/1881?

Answer: GCF of Numerators as per given numbers 273/548, 6812/1881 is

GCF of Numerators i.e. for 273,6812 is 13

LCM of denominators i.e. for 548,1881 is 1030788.

Thus, GCF of Fractions is 13/1030788.Finally, GCF of Fractions for 273/548, 6812/1881 is 13/1030788.