Greatest Common Factor of 4821/201, 5355/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4821/201, 5355/517

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 4821/201,5355/517

Given fractions are 4821/201,5355/517

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 4821,5355

Greatest Common Factor of Numerators i.e. GCF of 4821,5355 is 3 .

LCM of Denominators means LCM of 201,517 as per the given fractions.

LCM of 201,517 is 103917 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4821,5355

GCF of Fractions 4821/201,5355/517 is 3/103917

3 4821, 5355
1607, 1785

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

Greatest Common Factor of 4821,5355 By Matching Biggest Common Factor Method

Greatest Common Factor of 4821,5355 By Matching Biggest Common Factor Method

Factors of 4821

List of positive integer factors of 4821 that divides 4821 without a remainder.

1,3,1607,4821

Factors of 5355

List of positive integer factors of 5355 that divides 5355 without a remainder.

1,3,5,7,9,15,17,21,35,45,51,63,85,105,119,153,255,315,357,595,765,1071,1785,5355

Greatest Common Factor

We found the factors 4821,5355 . The biggest common factor number is the GCF number.
So the greatest common factor 4821,5355 is 3.

Lets's calculate LCM of 201,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 103917

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/103917

Therefore, the GCF of Fractions 4821/201,5355/517 is 3/103917

Least Common Multiple of 201,517 with GCF Formula

Least Common Multiple of 201,517 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 201,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(201,517) = 1

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

GCF(201,517) x common factors =1 x 1 = 1

LCM(201,517) = ( 201 × 517 ) / 1

LCM(201,517) = 103917 / 1

LCM(201,517) = 103917


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 4821/201, 5355/517

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 4821/201, 5355/517?

Answer: GCF of Numerators as per given numbers 4821/201, 5355/517 is

GCF of Numerators i.e. for 4821,5355 is 3

LCM of denominators i.e. for 201,517 is 103917.

Thus, GCF of Fractions is 3/103917.Finally, GCF of Fractions for 4821/201, 5355/517 is 3/103917.