Greatest Common Factor of 237/216, 9472/3594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 237/216, 9472/3594

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 237/216,9472/3594

Given fractions are 237/216,9472/3594

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 237,9472

Greatest Common Factor of Numerators i.e. GCF of 237,9472 is 1 .

LCM of Denominators means LCM of 216,3594 as per the given fractions.

LCM of 216,3594 is 129384 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 237,9472

GCF of Fractions 237/216,9472/3594 is 1/129384

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

Greatest Common Factor of 237,9472 By Matching Biggest Common Factor Method

Greatest Common Factor of 237,9472 By Matching Biggest Common Factor Method

Factors of 237

List of positive integer factors of 237 that divides 237 without a remainder.

1,3,79,237

Factors of 9472

List of positive integer factors of 9472 that divides 9472 without a remainder.

1,2,4,8,16,32,37,64,74,128,148,256,296,592,1184,2368,4736,9472

Greatest Common Factor

We found the factors 237,9472 . The biggest common factor number is the GCF number.
So the greatest common factor 237,9472 is 1.

Lets's calculate LCM of 216,3594

2 216, 3594
3 108, 1797
36, 599

∴ So the LCM of the given numbers is 2 x 3 x 36 x 599 = 129384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129384

Therefore, the GCF of Fractions 237/216,9472/3594 is 1/129384

Least Common Multiple of 216,3594 with GCF Formula

Least Common Multiple of 216,3594 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 216,3594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,3594) = 6

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

GCF(216,3594) x common factors =6 x 1 = 6

LCM(216,3594) = ( 216 × 3594 ) / 6

LCM(216,3594) = 776304 / 6

LCM(216,3594) = 129384


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 237/216, 9472/3594

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 237/216, 9472/3594?

Answer: GCF of Numerators as per given numbers 237/216, 9472/3594 is

GCF of Numerators i.e. for 237,9472 is 1

LCM of denominators i.e. for 216,3594 is 129384.

Thus, GCF of Fractions is 1/129384.Finally, GCF of Fractions for 237/216, 9472/3594 is 1/129384.