Greatest Common Factor of 201/41, 669/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 201/41, 669/820

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 201/41,669/820

Given fractions are 201/41,669/820

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 201,669

Greatest Common Factor of Numerators i.e. GCF of 201,669 is 3 .

LCM of Denominators means LCM of 41,820 as per the given fractions.

LCM of 41,820 is 820 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 201,669

GCF of Fractions 201/41,669/820 is 3/820

3 201, 669
67, 223

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

Greatest Common Factor of 201,669 By Matching Biggest Common Factor Method

Greatest Common Factor of 201,669 By Matching Biggest Common Factor Method

Factors of 201

List of positive integer factors of 201 that divides 201 without a remainder.

1,3,67,201

Factors of 669

List of positive integer factors of 669 that divides 669 without a remainder.

1,3,223,669

Greatest Common Factor

We found the factors 201,669 . The biggest common factor number is the GCF number.
So the greatest common factor 201,669 is 3.

Lets's calculate LCM of 41,820

41 41, 820
1, 20

∴ So the LCM of the given numbers is 41 x 1 x 20 = 820

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/820

Therefore, the GCF of Fractions 201/41,669/820 is 3/820

Least Common Multiple of 41,820 with GCF Formula

Least Common Multiple of 41,820 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 41,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,820) = 41

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

GCF(41,820) x common factors =41 x 1 = 41

LCM(41,820) = ( 41 × 820 ) / 41

LCM(41,820) = 33620 / 41

LCM(41,820) = 820


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 201/41, 669/820

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 201/41, 669/820?

Answer: GCF of Numerators as per given numbers 201/41, 669/820 is

GCF of Numerators i.e. for 201,669 is 3

LCM of denominators i.e. for 41,820 is 820.

Thus, GCF of Fractions is 3/820.Finally, GCF of Fractions for 201/41, 669/820 is 3/820.