Greatest Common Factor of 7316/27, 2432/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7316/27, 2432/264

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 7316/27,2432/264

Given fractions are 7316/27,2432/264

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 7316,2432

Greatest Common Factor of Numerators i.e. GCF of 7316,2432 is 4 .

LCM of Denominators means LCM of 27,264 as per the given fractions.

LCM of 27,264 is 2376 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7316,2432

GCF of Fractions 7316/27,2432/264 is 4/2376

2 7316, 2432
2 3658, 1216
1829, 608

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 7316,2432 By Matching Biggest Common Factor Method

Greatest Common Factor of 7316,2432 By Matching Biggest Common Factor Method

Factors of 7316

List of positive integer factors of 7316 that divides 7316 without a remainder.

1,2,4,31,59,62,118,124,236,1829,3658,7316

Factors of 2432

List of positive integer factors of 2432 that divides 2432 without a remainder.

1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432

Greatest Common Factor

We found the factors 7316,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 7316,2432 is 4.

Lets's calculate LCM of 27,264

3 27, 264
9, 88

∴ So the LCM of the given numbers is 3 x 9 x 88 = 2376

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2376

Therefore, the GCF of Fractions 7316/27,2432/264 is 4/2376

Least Common Multiple of 27,264 with GCF Formula

Least Common Multiple of 27,264 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 27,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,264) = 3

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

GCF(27,264) x common factors =3 x 1 = 3

LCM(27,264) = ( 27 × 264 ) / 3

LCM(27,264) = 7128 / 3

LCM(27,264) = 2376


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 7316/27, 2432/264

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 7316/27, 2432/264?

Answer: GCF of Numerators as per given numbers 7316/27, 2432/264 is

GCF of Numerators i.e. for 7316,2432 is 4

LCM of denominators i.e. for 27,264 is 2376.

Thus, GCF of Fractions is 4/2376.Finally, GCF of Fractions for 7316/27, 2432/264 is 4/2376.