Greatest Common Factor of 6153/65, 2961/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6153/65, 2961/483

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 6153/65,2961/483

Given fractions are 6153/65,2961/483

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 6153,2961

Greatest Common Factor of Numerators i.e. GCF of 6153,2961 is 21 .

LCM of Denominators means LCM of 65,483 as per the given fractions.

LCM of 65,483 is 31395 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6153,2961

GCF of Fractions 6153/65,2961/483 is 21/31395

3 6153, 2961
7 2051, 987
293, 141

∴ So the GCF of the given numbers is 3 x 7 = 21

Greatest Common Factor of 6153,2961 By Matching Biggest Common Factor Method

Greatest Common Factor of 6153,2961 By Matching Biggest Common Factor Method

Factors of 6153

List of positive integer factors of 6153 that divides 6153 without a remainder.

1,3,7,21,293,879,2051,6153

Factors of 2961

List of positive integer factors of 2961 that divides 2961 without a remainder.

1,3,7,9,21,47,63,141,329,423,987,2961

Greatest Common Factor

We found the factors 6153,2961 . The biggest common factor number is the GCF number.
So the greatest common factor 6153,2961 is 21.

Lets's calculate LCM of 65,483

Given numbers has no common factors except 1. So, there LCM is their product i.e 31395

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/31395

Therefore, the GCF of Fractions 6153/65,2961/483 is 21/31395

Least Common Multiple of 65,483 with GCF Formula

Least Common Multiple of 65,483 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 65,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,483) = 1

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

GCF(65,483) x common factors =1 x 1 = 1

LCM(65,483) = ( 65 × 483 ) / 1

LCM(65,483) = 31395 / 1

LCM(65,483) = 31395


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 6153/65, 2961/483

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 6153/65, 2961/483?

Answer: GCF of Numerators as per given numbers 6153/65, 2961/483 is

GCF of Numerators i.e. for 6153,2961 is 21

LCM of denominators i.e. for 65,483 is 31395.

Thus, GCF of Fractions is 21/31395.Finally, GCF of Fractions for 6153/65, 2961/483 is 21/31395.