Greatest Common Factor of 7372/216, 2885/4134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7372/216, 2885/4134

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 7372/216,2885/4134

Given fractions are 7372/216,2885/4134

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 7372,2885

Greatest Common Factor of Numerators i.e. GCF of 7372,2885 is 1 .

LCM of Denominators means LCM of 216,4134 as per the given fractions.

LCM of 216,4134 is 148824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7372,2885

GCF of Fractions 7372/216,2885/4134 is 1/148824

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7372,2885 By Matching Biggest Common Factor Method

Greatest Common Factor of 7372,2885 By Matching Biggest Common Factor Method

Factors of 7372

List of positive integer factors of 7372 that divides 7372 without a remainder.

1,2,4,19,38,76,97,194,388,1843,3686,7372

Factors of 2885

List of positive integer factors of 2885 that divides 2885 without a remainder.

1,5,577,2885

Greatest Common Factor

We found the factors 7372,2885 . The biggest common factor number is the GCF number.
So the greatest common factor 7372,2885 is 1.

Lets's calculate LCM of 216,4134

2 216, 4134
3 108, 2067
36, 689

∴ So the LCM of the given numbers is 2 x 3 x 36 x 689 = 148824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148824

Therefore, the GCF of Fractions 7372/216,2885/4134 is 1/148824

Least Common Multiple of 216,4134 with GCF Formula

Least Common Multiple of 216,4134 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 216,4134 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,4134) = 6

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

GCF(216,4134) x common factors =6 x 1 = 6

LCM(216,4134) = ( 216 × 4134 ) / 6

LCM(216,4134) = 892944 / 6

LCM(216,4134) = 148824


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 7372/216, 2885/4134

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 7372/216, 2885/4134?

Answer: GCF of Numerators as per given numbers 7372/216, 2885/4134 is

GCF of Numerators i.e. for 7372,2885 is 1

LCM of denominators i.e. for 216,4134 is 148824.

Thus, GCF of Fractions is 1/148824.Finally, GCF of Fractions for 7372/216, 2885/4134 is 1/148824.