Greatest Common Factor of 7572/64, 8364/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7572/64, 8364/188

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 7572/64,8364/188

Given fractions are 7572/64,8364/188

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 7572,8364

Greatest Common Factor of Numerators i.e. GCF of 7572,8364 is 12 .

LCM of Denominators means LCM of 64,188 as per the given fractions.

LCM of 64,188 is 3008 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7572,8364

GCF of Fractions 7572/64,8364/188 is 12/3008

2 7572, 8364
2 3786, 4182
3 1893, 2091
631, 697

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

Greatest Common Factor of 7572,8364 By Matching Biggest Common Factor Method

Greatest Common Factor of 7572,8364 By Matching Biggest Common Factor Method

Factors of 7572

List of positive integer factors of 7572 that divides 7572 without a remainder.

1,2,3,4,6,12,631,1262,1893,2524,3786,7572

Factors of 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Greatest Common Factor

We found the factors 7572,8364 . The biggest common factor number is the GCF number.
So the greatest common factor 7572,8364 is 12.

Lets's calculate LCM of 64,188

2 64, 188
2 32, 94
16, 47

∴ So the LCM of the given numbers is 2 x 2 x 16 x 47 = 3008

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3008

Therefore, the GCF of Fractions 7572/64,8364/188 is 12/3008

Least Common Multiple of 64,188 with GCF Formula

Least Common Multiple of 64,188 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 64,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,188) = 4

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

GCF(64,188) x common factors =4 x 1 = 4

LCM(64,188) = ( 64 × 188 ) / 4

LCM(64,188) = 12032 / 4

LCM(64,188) = 3008


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 7572/64, 8364/188

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 7572/64, 8364/188?

Answer: GCF of Numerators as per given numbers 7572/64, 8364/188 is

GCF of Numerators i.e. for 7572,8364 is 12

LCM of denominators i.e. for 64,188 is 3008.

Thus, GCF of Fractions is 12/3008.Finally, GCF of Fractions for 7572/64, 8364/188 is 12/3008.