Greatest Common Factor of 663/966, 9356/333

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 663/966, 9356/333

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 663/966,9356/333

Given fractions are 663/966,9356/333

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 663,9356

Greatest Common Factor of Numerators i.e. GCF of 663,9356 is 1 .

LCM of Denominators means LCM of 966,333 as per the given fractions.

LCM of 966,333 is 107226 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 663,9356

GCF of Fractions 663/966,9356/333 is 1/107226

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

Greatest Common Factor of 663,9356 By Matching Biggest Common Factor Method

Greatest Common Factor of 663,9356 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 9356

List of positive integer factors of 9356 that divides 9356 without a remainder.

1,2,4,2339,4678,9356

Greatest Common Factor

We found the factors 663,9356 . The biggest common factor number is the GCF number.
So the greatest common factor 663,9356 is 1.

Lets's calculate LCM of 966,333

3 966, 333
322, 111

∴ So the LCM of the given numbers is 3 x 322 x 111 = 107226

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107226

Therefore, the GCF of Fractions 663/966,9356/333 is 1/107226

Least Common Multiple of 966,333 with GCF Formula

Least Common Multiple of 966,333 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 966,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(966,333) = 3

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

GCF(966,333) x common factors =3 x 1 = 3

LCM(966,333) = ( 966 × 333 ) / 3

LCM(966,333) = 321678 / 3

LCM(966,333) = 107226


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 663/966, 9356/333

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 663/966, 9356/333?

Answer: GCF of Numerators as per given numbers 663/966, 9356/333 is

GCF of Numerators i.e. for 663,9356 is 1

LCM of denominators i.e. for 966,333 is 107226.

Thus, GCF of Fractions is 1/107226.Finally, GCF of Fractions for 663/966, 9356/333 is 1/107226.