Greatest Common Factor of 663/21, 523/3691

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/21, 523/3691

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 663/21,523/3691

Given fractions are 663/21,523/3691

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 663,523

Greatest Common Factor of Numerators i.e. GCF of 663,523 is 1 .

LCM of Denominators means LCM of 21,3691 as per the given fractions.

LCM of 21,3691 is 77511 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,523

GCF of Fractions 663/21,523/3691 is 1/77511

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

Greatest Common Factor of 663,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,523 By Matching Biggest Common Factor Method

Factors of 663

List of positive integer factors of 663 that divides 663 without a remainder.

1,3,13,17,39,51,221,663

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 663,523 . The biggest common factor number is the GCF number.
So the greatest common factor 663,523 is 1.

Lets's calculate LCM of 21,3691

Given numbers has no common factors except 1. So, there LCM is their product i.e 77511

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77511

Therefore, the GCF of Fractions 663/21,523/3691 is 1/77511

Least Common Multiple of 21,3691 with GCF Formula

Least Common Multiple of 21,3691 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 21,3691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,3691) = 1

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

GCF(21,3691) x common factors =1 x 1 = 1

LCM(21,3691) = ( 21 × 3691 ) / 1

LCM(21,3691) = 77511 / 1

LCM(21,3691) = 77511


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 663/21, 523/3691

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 663/21, 523/3691?

Answer: GCF of Numerators as per given numbers 663/21, 523/3691 is

GCF of Numerators i.e. for 663,523 is 1

LCM of denominators i.e. for 21,3691 is 77511.

Thus, GCF of Fractions is 1/77511.Finally, GCF of Fractions for 663/21, 523/3691 is 1/77511.