Greatest Common Factor of 2793/20, 6213/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2793/20, 6213/549

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 2793/20,6213/549

Given fractions are 2793/20,6213/549

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 2793,6213

Greatest Common Factor of Numerators i.e. GCF of 2793,6213 is 57 .

LCM of Denominators means LCM of 20,549 as per the given fractions.

LCM of 20,549 is 10980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2793,6213

GCF of Fractions 2793/20,6213/549 is 57/10980

3 2793, 6213
19 931, 2071
49, 109

∴ So the GCF of the given numbers is 3 x 19 = 57

Greatest Common Factor of 2793,6213 By Matching Biggest Common Factor Method

Greatest Common Factor of 2793,6213 By Matching Biggest Common Factor Method

Factors of 2793

List of positive integer factors of 2793 that divides 2793 without a remainder.

1,3,7,19,21,49,57,133,147,399,931,2793

Factors of 6213

List of positive integer factors of 6213 that divides 6213 without a remainder.

1,3,19,57,109,327,2071,6213

Greatest Common Factor

We found the factors 2793,6213 . The biggest common factor number is the GCF number.
So the greatest common factor 2793,6213 is 57.

Lets's calculate LCM of 20,549

Given numbers has no common factors except 1. So, there LCM is their product i.e 10980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 57/10980

Therefore, the GCF of Fractions 2793/20,6213/549 is 57/10980

Least Common Multiple of 20,549 with GCF Formula

Least Common Multiple of 20,549 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 20,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,549) = 1

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

GCF(20,549) x common factors =1 x 1 = 1

LCM(20,549) = ( 20 × 549 ) / 1

LCM(20,549) = 10980 / 1

LCM(20,549) = 10980


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 2793/20, 6213/549

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 2793/20, 6213/549?

Answer: GCF of Numerators as per given numbers 2793/20, 6213/549 is

GCF of Numerators i.e. for 2793,6213 is 57

LCM of denominators i.e. for 20,549 is 10980.

Thus, GCF of Fractions is 57/10980.Finally, GCF of Fractions for 2793/20, 6213/549 is 57/10980.