Greatest Common Factor of 657/18, 966/246

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 657/18, 966/246

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 657/18,966/246

Given fractions are 657/18,966/246

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 657,966

Greatest Common Factor of Numerators i.e. GCF of 657,966 is 3 .

LCM of Denominators means LCM of 18,246 as per the given fractions.

LCM of 18,246 is 738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 657,966

GCF of Fractions 657/18,966/246 is 3/738

3 657, 966
219, 322

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 657,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,966 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 657,966 . The biggest common factor number is the GCF number.
So the greatest common factor 657,966 is 3.

Lets's calculate LCM of 18,246

2 18, 246
3 9, 123
3, 41

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 = 738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/738

Therefore, the GCF of Fractions 657/18,966/246 is 3/738

Least Common Multiple of 18,246 with GCF Formula

Least Common Multiple of 18,246 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 18,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,246) = 6

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

GCF(18,246) x common factors =6 x 1 = 6

LCM(18,246) = ( 18 × 246 ) / 6

LCM(18,246) = 4428 / 6

LCM(18,246) = 738


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 657/18, 966/246

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 657/18, 966/246?

Answer: GCF of Numerators as per given numbers 657/18, 966/246 is

GCF of Numerators i.e. for 657,966 is 3

LCM of denominators i.e. for 18,246 is 738.

Thus, GCF of Fractions is 3/738.Finally, GCF of Fractions for 657/18, 966/246 is 3/738.