Greatest Common Factor of 27/621, 54/1594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/621, 54/1594

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 27/621,54/1594

Given fractions are 27/621,54/1594

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 27,54

Greatest Common Factor of Numerators i.e. GCF of 27,54 is 27 .

LCM of Denominators means LCM of 621,1594 as per the given fractions.

LCM of 621,1594 is 989874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,54

GCF of Fractions 27/621,54/1594 is 27/989874

3 27, 54
3 9, 18
3 3, 6
1, 2

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Greatest Common Factor of 27,54 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,54 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Greatest Common Factor

We found the factors 27,54 . The biggest common factor number is the GCF number.
So the greatest common factor 27,54 is 27.

Lets's calculate LCM of 621,1594

Given numbers has no common factors except 1. So, there LCM is their product i.e 989874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/989874

Therefore, the GCF of Fractions 27/621,54/1594 is 27/989874

Least Common Multiple of 621,1594 with GCF Formula

Least Common Multiple of 621,1594 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 621,1594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(621,1594) = 1

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

GCF(621,1594) x common factors =1 x 1 = 1

LCM(621,1594) = ( 621 × 1594 ) / 1

LCM(621,1594) = 989874 / 1

LCM(621,1594) = 989874


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 27/621, 54/1594

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 27/621, 54/1594?

Answer: GCF of Numerators as per given numbers 27/621, 54/1594 is

GCF of Numerators i.e. for 27,54 is 27

LCM of denominators i.e. for 621,1594 is 989874.

Thus, GCF of Fractions is 27/989874.Finally, GCF of Fractions for 27/621, 54/1594 is 27/989874.