Greatest Common Factor of 8665/663, 3968/4923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8665/663, 3968/4923

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 8665/663,3968/4923

Given fractions are 8665/663,3968/4923

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 8665,3968

Greatest Common Factor of Numerators i.e. GCF of 8665,3968 is 1 .

LCM of Denominators means LCM of 663,4923 as per the given fractions.

LCM of 663,4923 is 1087983 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8665,3968

GCF of Fractions 8665/663,3968/4923 is 1/1087983

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

Greatest Common Factor of 8665,3968 By Matching Biggest Common Factor Method

Greatest Common Factor of 8665,3968 By Matching Biggest Common Factor Method

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1,5,1733,8665

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Greatest Common Factor

We found the factors 8665,3968 . The biggest common factor number is the GCF number.
So the greatest common factor 8665,3968 is 1.

Lets's calculate LCM of 663,4923

3 663, 4923
221, 1641

∴ So the LCM of the given numbers is 3 x 221 x 1641 = 1087983

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1087983

Therefore, the GCF of Fractions 8665/663,3968/4923 is 1/1087983

Least Common Multiple of 663,4923 with GCF Formula

Least Common Multiple of 663,4923 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 663,4923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,4923) = 3

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

GCF(663,4923) x common factors =3 x 1 = 3

LCM(663,4923) = ( 663 × 4923 ) / 3

LCM(663,4923) = 3263949 / 3

LCM(663,4923) = 1087983


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 8665/663, 3968/4923

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 8665/663, 3968/4923?

Answer: GCF of Numerators as per given numbers 8665/663, 3968/4923 is

GCF of Numerators i.e. for 8665,3968 is 1

LCM of denominators i.e. for 663,4923 is 1087983.

Thus, GCF of Fractions is 1/1087983.Finally, GCF of Fractions for 8665/663, 3968/4923 is 1/1087983.