Greatest Common Factor of 2052/73, 8244/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2052/73, 8244/252

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 2052/73,8244/252

Given fractions are 2052/73,8244/252

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 2052,8244

Greatest Common Factor of Numerators i.e. GCF of 2052,8244 is 36 .

LCM of Denominators means LCM of 73,252 as per the given fractions.

LCM of 73,252 is 18396 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2052,8244

GCF of Fractions 2052/73,8244/252 is 36/18396

2 2052, 8244
2 1026, 4122
3 513, 2061
3 171, 687
57, 229

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor of 2052,8244 By Matching Biggest Common Factor Method

Greatest Common Factor of 2052,8244 By Matching Biggest Common Factor Method

Factors of 2052

List of positive integer factors of 2052 that divides 2052 without a remainder.

1,2,3,4,6,9,12,18,19,27,36,38,54,57,76,108,114,171,228,342,513,684,1026,2052

Factors of 8244

List of positive integer factors of 8244 that divides 8244 without a remainder.

1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244

Greatest Common Factor

We found the factors 2052,8244 . The biggest common factor number is the GCF number.
So the greatest common factor 2052,8244 is 36.

Lets's calculate LCM of 73,252

Given numbers has no common factors except 1. So, there LCM is their product i.e 18396

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 36/18396

Therefore, the GCF of Fractions 2052/73,8244/252 is 36/18396

Least Common Multiple of 73,252 with GCF Formula

Least Common Multiple of 73,252 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 73,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,252) = 1

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

GCF(73,252) x common factors =1 x 1 = 1

LCM(73,252) = ( 73 × 252 ) / 1

LCM(73,252) = 18396 / 1

LCM(73,252) = 18396


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 2052/73, 8244/252

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 2052/73, 8244/252?

Answer: GCF of Numerators as per given numbers 2052/73, 8244/252 is

GCF of Numerators i.e. for 2052,8244 is 36

LCM of denominators i.e. for 73,252 is 18396.

Thus, GCF of Fractions is 36/18396.Finally, GCF of Fractions for 2052/73, 8244/252 is 36/18396.