Greatest Common Factor of 204/36, 837/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 204/36, 837/196

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 204/36,837/196

Given fractions are 204/36,837/196

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 204,837

Greatest Common Factor of Numerators i.e. GCF of 204,837 is 3 .

LCM of Denominators means LCM of 36,196 as per the given fractions.

LCM of 36,196 is 1764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 204,837

GCF of Fractions 204/36,837/196 is 3/1764

3 204, 837
68, 279

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 204,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,837 By Matching Biggest Common Factor Method

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

Factors of 837

List of positive integer factors of 837 that divides 837 without a remainder.

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 204,837 . The biggest common factor number is the GCF number.
So the greatest common factor 204,837 is 3.

Lets's calculate LCM of 36,196

2 36, 196
2 18, 98
9, 49

∴ So the LCM of the given numbers is 2 x 2 x 9 x 49 = 1764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1764

Therefore, the GCF of Fractions 204/36,837/196 is 3/1764

Least Common Multiple of 36,196 with GCF Formula

Least Common Multiple of 36,196 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 36,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,196) = 4

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

GCF(36,196) x common factors =4 x 1 = 4

LCM(36,196) = ( 36 × 196 ) / 4

LCM(36,196) = 7056 / 4

LCM(36,196) = 1764


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 204/36, 837/196

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 204/36, 837/196?

Answer: GCF of Numerators as per given numbers 204/36, 837/196 is

GCF of Numerators i.e. for 204,837 is 3

LCM of denominators i.e. for 36,196 is 1764.

Thus, GCF of Fractions is 3/1764.Finally, GCF of Fractions for 204/36, 837/196 is 3/1764.