Greatest Common Factor of 6531/21, 2488/353

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6531/21, 2488/353

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 6531/21,2488/353

Given fractions are 6531/21,2488/353

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 6531,2488

Greatest Common Factor of Numerators i.e. GCF of 6531,2488 is 311 .

LCM of Denominators means LCM of 21,353 as per the given fractions.

LCM of 21,353 is 7413 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6531,2488

GCF of Fractions 6531/21,2488/353 is 311/7413

311 6531, 2488
21, 8

∴ So the GCF of the given numbers is 311 = 311

Greatest Common Factor of 6531,2488 By Matching Biggest Common Factor Method

Greatest Common Factor of 6531,2488 By Matching Biggest Common Factor Method

Factors of 6531

List of positive integer factors of 6531 that divides 6531 without a remainder.

1,3,7,21,311,933,2177,6531

Factors of 2488

List of positive integer factors of 2488 that divides 2488 without a remainder.

1,2,4,8,311,622,1244,2488

Greatest Common Factor

We found the factors 6531,2488 . The biggest common factor number is the GCF number.
So the greatest common factor 6531,2488 is 311.

Lets's calculate LCM of 21,353

Given numbers has no common factors except 1. So, there LCM is their product i.e 7413

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 311/7413

Therefore, the GCF of Fractions 6531/21,2488/353 is 311/7413

Least Common Multiple of 21,353 with GCF Formula

Least Common Multiple of 21,353 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 21,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,353) = 1

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

GCF(21,353) x common factors =1 x 1 = 1

LCM(21,353) = ( 21 × 353 ) / 1

LCM(21,353) = 7413 / 1

LCM(21,353) = 7413


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 6531/21, 2488/353

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 6531/21, 2488/353?

Answer: GCF of Numerators as per given numbers 6531/21, 2488/353 is

GCF of Numerators i.e. for 6531,2488 is 311

LCM of denominators i.e. for 21,353 is 7413.

Thus, GCF of Fractions is 311/7413.Finally, GCF of Fractions for 6531/21, 2488/353 is 311/7413.