Greatest Common Factor of 2016/820, 4132/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2016/820, 4132/204

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 2016/820,4132/204

Given fractions are 2016/820,4132/204

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 2016,4132

Greatest Common Factor of Numerators i.e. GCF of 2016,4132 is 4 .

LCM of Denominators means LCM of 820,204 as per the given fractions.

LCM of 820,204 is 41820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2016,4132

GCF of Fractions 2016/820,4132/204 is 4/41820

2 2016, 4132
2 1008, 2066
504, 1033

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2016,4132 By Matching Biggest Common Factor Method

Greatest Common Factor of 2016,4132 By Matching Biggest Common Factor Method

Factors of 2016

List of positive integer factors of 2016 that divides 2016 without a remainder.

1,2,3,4,6,7,8,9,12,14,16,18,21,24,28,32,36,42,48,56,63,72,84,96,112,126,144,168,224,252,288,336,504,672,1008,2016

Factors of 4132

List of positive integer factors of 4132 that divides 4132 without a remainder.

1,2,4,1033,2066,4132

Greatest Common Factor

We found the factors 2016,4132 . The biggest common factor number is the GCF number.
So the greatest common factor 2016,4132 is 4.

Lets's calculate LCM of 820,204

2 820, 204
2 410, 102
205, 51

∴ So the LCM of the given numbers is 2 x 2 x 205 x 51 = 41820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/41820

Therefore, the GCF of Fractions 2016/820,4132/204 is 4/41820

Least Common Multiple of 820,204 with GCF Formula

Least Common Multiple of 820,204 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 820,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(820,204) = 4

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

GCF(820,204) x common factors =4 x 1 = 4

LCM(820,204) = ( 820 × 204 ) / 4

LCM(820,204) = 167280 / 4

LCM(820,204) = 41820


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 2016/820, 4132/204

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 2016/820, 4132/204?

Answer: GCF of Numerators as per given numbers 2016/820, 4132/204 is

GCF of Numerators i.e. for 2016,4132 is 4

LCM of denominators i.e. for 820,204 is 41820.

Thus, GCF of Fractions is 4/41820.Finally, GCF of Fractions for 2016/820, 4132/204 is 4/41820.