Greatest Common Factor of 952/839, 204/237

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 952/839, 204/237

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 952/839,204/237

Given fractions are 952/839,204/237

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 952,204

Greatest Common Factor of Numerators i.e. GCF of 952,204 is 68 .

LCM of Denominators means LCM of 839,237 as per the given fractions.

LCM of 839,237 is 198843 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 952,204

GCF of Fractions 952/839,204/237 is 68/198843

2 952, 204
2 476, 102
17 238, 51
14, 3

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 952,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 952,204 By Matching Biggest Common Factor Method

Factors of 952

List of positive integer factors of 952 that divides 952 without a remainder.

1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 952,204 . The biggest common factor number is the GCF number.
So the greatest common factor 952,204 is 68.

Lets's calculate LCM of 839,237

Given numbers has no common factors except 1. So, there LCM is their product i.e 198843

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/198843

Therefore, the GCF of Fractions 952/839,204/237 is 68/198843

Least Common Multiple of 839,237 with GCF Formula

Least Common Multiple of 839,237 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 839,237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(839,237) = 1

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

GCF(839,237) x common factors =1 x 1 = 1

LCM(839,237) = ( 839 × 237 ) / 1

LCM(839,237) = 198843 / 1

LCM(839,237) = 198843


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 952/839, 204/237

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 952/839, 204/237?

Answer: GCF of Numerators as per given numbers 952/839, 204/237 is

GCF of Numerators i.e. for 952,204 is 68

LCM of denominators i.e. for 839,237 is 198843.

Thus, GCF of Fractions is 68/198843.Finally, GCF of Fractions for 952/839, 204/237 is 68/198843.