Greatest Common Factor of 196/204, 5970/816

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 196/204, 5970/816

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 196/204,5970/816

Given fractions are 196/204,5970/816

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 196,5970

Greatest Common Factor of Numerators i.e. GCF of 196,5970 is 2 .

LCM of Denominators means LCM of 204,816 as per the given fractions.

LCM of 204,816 is 816 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 196,5970

GCF of Fractions 196/204,5970/816 is 2/816

2 196, 5970
98, 2985

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 196,5970 By Matching Biggest Common Factor Method

Greatest Common Factor of 196,5970 By Matching Biggest Common Factor Method

Factors of 196

List of positive integer factors of 196 that divides 196 without a remainder.

1,2,4,7,14,28,49,98,196

Factors of 5970

List of positive integer factors of 5970 that divides 5970 without a remainder.

1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970

Greatest Common Factor

We found the factors 196,5970 . The biggest common factor number is the GCF number.
So the greatest common factor 196,5970 is 2.

Lets's calculate LCM of 204,816

2 204, 816
2 102, 408
3 51, 204
17 17, 68
1, 4

∴ So the LCM of the given numbers is 2 x 2 x 3 x 17 x 1 x 4 = 816

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/816

Therefore, the GCF of Fractions 196/204,5970/816 is 2/816

Least Common Multiple of 204,816 with GCF Formula

Least Common Multiple of 204,816 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 204,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,816) = 204

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

GCF(204,816) x common factors =204 x 1 = 204

LCM(204,816) = ( 204 × 816 ) / 204

LCM(204,816) = 166464 / 204

LCM(204,816) = 816


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 196/204, 5970/816

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 196/204, 5970/816?

Answer: GCF of Numerators as per given numbers 196/204, 5970/816 is

GCF of Numerators i.e. for 196,5970 is 2

LCM of denominators i.e. for 204,816 is 816.

Thus, GCF of Fractions is 2/816.Finally, GCF of Fractions for 196/204, 5970/816 is 2/816.