Greatest Common Factor of 2727/54, 7470/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2727/54, 7470/742

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 2727/54,7470/742

Given fractions are 2727/54,7470/742

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 2727,7470

Greatest Common Factor of Numerators i.e. GCF of 2727,7470 is 9 .

LCM of Denominators means LCM of 54,742 as per the given fractions.

LCM of 54,742 is 20034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2727,7470

GCF of Fractions 2727/54,7470/742 is 9/20034

3 2727, 7470
3 909, 2490
303, 830

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2727,7470 By Matching Biggest Common Factor Method

Greatest Common Factor of 2727,7470 By Matching Biggest Common Factor Method

Factors of 2727

List of positive integer factors of 2727 that divides 2727 without a remainder.

1,3,9,27,101,303,909,2727

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors 2727,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 2727,7470 is 9.

Lets's calculate LCM of 54,742

2 54, 742
27, 371

∴ So the LCM of the given numbers is 2 x 27 x 371 = 20034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/20034

Therefore, the GCF of Fractions 2727/54,7470/742 is 9/20034

Least Common Multiple of 54,742 with GCF Formula

Least Common Multiple of 54,742 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 54,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,742) = 2

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

GCF(54,742) x common factors =2 x 1 = 2

LCM(54,742) = ( 54 × 742 ) / 2

LCM(54,742) = 40068 / 2

LCM(54,742) = 20034


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 2727/54, 7470/742

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 2727/54, 7470/742?

Answer: GCF of Numerators as per given numbers 2727/54, 7470/742 is

GCF of Numerators i.e. for 2727,7470 is 9

LCM of denominators i.e. for 54,742 is 20034.

Thus, GCF of Fractions is 9/20034.Finally, GCF of Fractions for 2727/54, 7470/742 is 9/20034.