Greatest Common Factor of 444/188, 6204/961

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 444/188, 6204/961

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 444/188,6204/961

Given fractions are 444/188,6204/961

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 444,6204

Greatest Common Factor of Numerators i.e. GCF of 444,6204 is 12 .

LCM of Denominators means LCM of 188,961 as per the given fractions.

LCM of 188,961 is 180668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 444,6204

GCF of Fractions 444/188,6204/961 is 12/180668

2 444, 6204
2 222, 3102
3 111, 1551
37, 517

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

Greatest Common Factor of 444,6204 By Matching Biggest Common Factor Method

Greatest Common Factor of 444,6204 By Matching Biggest Common Factor Method

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Factors of 6204

List of positive integer factors of 6204 that divides 6204 without a remainder.

1,2,3,4,6,11,12,22,33,44,47,66,94,132,141,188,282,517,564,1034,1551,2068,3102,6204

Greatest Common Factor

We found the factors 444,6204 . The biggest common factor number is the GCF number.
So the greatest common factor 444,6204 is 12.

Lets's calculate LCM of 188,961

Given numbers has no common factors except 1. So, there LCM is their product i.e 180668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/180668

Therefore, the GCF of Fractions 444/188,6204/961 is 12/180668

Least Common Multiple of 188,961 with GCF Formula

Least Common Multiple of 188,961 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 188,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(188,961) = 1

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

GCF(188,961) x common factors =1 x 1 = 1

LCM(188,961) = ( 188 × 961 ) / 1

LCM(188,961) = 180668 / 1

LCM(188,961) = 180668


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 444/188, 6204/961

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 444/188, 6204/961?

Answer: GCF of Numerators as per given numbers 444/188, 6204/961 is

GCF of Numerators i.e. for 444,6204 is 12

LCM of denominators i.e. for 188,961 is 180668.

Thus, GCF of Fractions is 12/180668.Finally, GCF of Fractions for 444/188, 6204/961 is 12/180668.