Greatest Common Factor of 187/234, 8382/412

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/234, 8382/412

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 187/234,8382/412

Given fractions are 187/234,8382/412

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 187,8382

Greatest Common Factor of Numerators i.e. GCF of 187,8382 is 11 .

LCM of Denominators means LCM of 234,412 as per the given fractions.

LCM of 234,412 is 48204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,8382

GCF of Fractions 187/234,8382/412 is 11/48204

11 187, 8382
17, 762

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 187,8382 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,8382 By Matching Biggest Common Factor Method

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Greatest Common Factor

We found the factors 187,8382 . The biggest common factor number is the GCF number.
So the greatest common factor 187,8382 is 11.

Lets's calculate LCM of 234,412

2 234, 412
117, 206

∴ So the LCM of the given numbers is 2 x 117 x 206 = 48204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/48204

Therefore, the GCF of Fractions 187/234,8382/412 is 11/48204

Least Common Multiple of 234,412 with GCF Formula

Least Common Multiple of 234,412 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 234,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,412) = 2

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

GCF(234,412) x common factors =2 x 1 = 2

LCM(234,412) = ( 234 × 412 ) / 2

LCM(234,412) = 96408 / 2

LCM(234,412) = 48204


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 187/234, 8382/412

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 187/234, 8382/412?

Answer: GCF of Numerators as per given numbers 187/234, 8382/412 is

GCF of Numerators i.e. for 187,8382 is 11

LCM of denominators i.e. for 234,412 is 48204.

Thus, GCF of Fractions is 11/48204.Finally, GCF of Fractions for 187/234, 8382/412 is 11/48204.