Greatest Common Factor of 216/37, 6924/995

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 216/37, 6924/995

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 216/37,6924/995

Given fractions are 216/37,6924/995

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 216,6924

Greatest Common Factor of Numerators i.e. GCF of 216,6924 is 12 .

LCM of Denominators means LCM of 37,995 as per the given fractions.

LCM of 37,995 is 36815 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 216,6924

GCF of Fractions 216/37,6924/995 is 12/36815

2 216, 6924
2 108, 3462
3 54, 1731
18, 577

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 216,6924 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,6924 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 6924

List of positive integer factors of 6924 that divides 6924 without a remainder.

1,2,3,4,6,12,577,1154,1731,2308,3462,6924

Greatest Common Factor

We found the factors 216,6924 . The biggest common factor number is the GCF number.
So the greatest common factor 216,6924 is 12.

Lets's calculate LCM of 37,995

Given numbers has no common factors except 1. So, there LCM is their product i.e 36815

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/36815

Therefore, the GCF of Fractions 216/37,6924/995 is 12/36815

Least Common Multiple of 37,995 with GCF Formula

Least Common Multiple of 37,995 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 37,995 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,995) = 1

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

GCF(37,995) x common factors =1 x 1 = 1

LCM(37,995) = ( 37 × 995 ) / 1

LCM(37,995) = 36815 / 1

LCM(37,995) = 36815


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 216/37, 6924/995

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 216/37, 6924/995?

Answer: GCF of Numerators as per given numbers 216/37, 6924/995 is

GCF of Numerators i.e. for 216,6924 is 12

LCM of denominators i.e. for 37,995 is 36815.

Thus, GCF of Fractions is 12/36815.Finally, GCF of Fractions for 216/37, 6924/995 is 12/36815.