Greatest Common Factor of 187/33, 644/21, 756/60

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 187/33, 644/21, 756/60

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 187/33,644/21,756/60

Given fractions are 187/33,644/21,756/60

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 187,644,756

Greatest Common Factor of Numerators i.e. GCF of 187,644,756 is 1 .

LCM of Denominators means LCM of 33,21,60 as per the given fractions.

LCM of 33,21,60 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 187,644,756

GCF of Fractions 187/33,644/21,756/60 is 1/4620

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

Greatest Common Factor of 187,644,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 187,644,756 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 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 187,644,756 . The biggest common factor number is the GCF number.
So the greatest common factor 187,644,756 is 1.

Lets's calculate LCM of 33,21,60

3 33, 21, 60
11, 7, 20

∴ So the LCM of the given numbers is 3 x 11 x 7 x 20 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4620

Therefore, the GCF of Fractions 187/33,644/21,756/60 is 1/4620

Least Common Multiple of 33,21,60 with GCF Formula

Least Common Multiple of 33,21,60 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 33,21,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,21,60) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(33,21,60) x common factors =3 x 3 = 9

LCM(33,21,60) = ( 33 × 21 × 60 ) / 9

LCM(33,21,60) = 41580 / 9

LCM(33,21,60) = 4620


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 187/33, 644/21, 756/60

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 187/33, 644/21, 756/60?

Answer: GCF of Numerators as per given numbers 187/33, 644/21, 756/60 is

GCF of Numerators i.e. for 187,644,756 is 1

LCM of denominators i.e. for 33,21,60 is 4620.

Thus, GCF of Fractions is 1/4620.Finally, GCF of Fractions for 187/33, 644/21, 756/60 is 1/4620.