Greatest Common Factor of 4682/204, 6261/2421

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4682/204, 6261/2421

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 4682/204,6261/2421

Given fractions are 4682/204,6261/2421

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 4682,6261

Greatest Common Factor of Numerators i.e. GCF of 4682,6261 is 1 .

LCM of Denominators means LCM of 204,2421 as per the given fractions.

LCM of 204,2421 is 164628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4682,6261

GCF of Fractions 4682/204,6261/2421 is 1/164628

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4682,6261 By Matching Biggest Common Factor Method

Greatest Common Factor of 4682,6261 By Matching Biggest Common Factor Method

Factors of 4682

List of positive integer factors of 4682 that divides 4682 without a remainder.

1,2,2341,4682

Factors of 6261

List of positive integer factors of 6261 that divides 6261 without a remainder.

1,3,2087,6261

Greatest Common Factor

We found the factors 4682,6261 . The biggest common factor number is the GCF number.
So the greatest common factor 4682,6261 is 1.

Lets's calculate LCM of 204,2421

3 204, 2421
68, 807

∴ So the LCM of the given numbers is 3 x 68 x 807 = 164628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/164628

Therefore, the GCF of Fractions 4682/204,6261/2421 is 1/164628

Least Common Multiple of 204,2421 with GCF Formula

Least Common Multiple of 204,2421 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 204,2421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,2421) = 3

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

GCF(204,2421) x common factors =3 x 1 = 3

LCM(204,2421) = ( 204 × 2421 ) / 3

LCM(204,2421) = 493884 / 3

LCM(204,2421) = 164628


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 4682/204, 6261/2421

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 4682/204, 6261/2421?

Answer: GCF of Numerators as per given numbers 4682/204, 6261/2421 is

GCF of Numerators i.e. for 4682,6261 is 1

LCM of denominators i.e. for 204,2421 is 164628.

Thus, GCF of Fractions is 1/164628.Finally, GCF of Fractions for 4682/204, 6261/2421 is 1/164628.