Greatest Common Factor of 2037/36, 5724/895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2037/36, 5724/895

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 2037/36,5724/895

Given fractions are 2037/36,5724/895

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 2037,5724

Greatest Common Factor of Numerators i.e. GCF of 2037,5724 is 3 .

LCM of Denominators means LCM of 36,895 as per the given fractions.

LCM of 36,895 is 32220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2037,5724

GCF of Fractions 2037/36,5724/895 is 3/32220

3 2037, 5724
679, 1908

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

Greatest Common Factor of 2037,5724 By Matching Biggest Common Factor Method

Greatest Common Factor of 2037,5724 By Matching Biggest Common Factor Method

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1,3,7,21,97,291,679,2037

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 2037,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 2037,5724 is 3.

Lets's calculate LCM of 36,895

Given numbers has no common factors except 1. So, there LCM is their product i.e 32220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32220

Therefore, the GCF of Fractions 2037/36,5724/895 is 3/32220

Least Common Multiple of 36,895 with GCF Formula

Least Common Multiple of 36,895 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 36,895 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,895) = 1

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

GCF(36,895) x common factors =1 x 1 = 1

LCM(36,895) = ( 36 × 895 ) / 1

LCM(36,895) = 32220 / 1

LCM(36,895) = 32220


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 2037/36, 5724/895

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 2037/36, 5724/895?

Answer: GCF of Numerators as per given numbers 2037/36, 5724/895 is

GCF of Numerators i.e. for 2037,5724 is 3

LCM of denominators i.e. for 36,895 is 32220.

Thus, GCF of Fractions is 3/32220.Finally, GCF of Fractions for 2037/36, 5724/895 is 3/32220.