Greatest Common Factor of 963/738, 231/856, 966/566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 963/738, 231/856, 966/566

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 963/738,231/856,966/566

Given fractions are 963/738,231/856,966/566

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 963,231,966

Greatest Common Factor of Numerators i.e. GCF of 963,231,966 is 3 .

LCM of Denominators means LCM of 738,856,566 as per the given fractions.

LCM of 738,856,566 is 89389512 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 963,231,966

GCF of Fractions 963/738,231/856,966/566 is 3/89389512

3 963, 231, 966
321, 77, 322

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

Greatest Common Factor of 963,231,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 963,231,966 By Matching Biggest Common Factor Method

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

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 963,231,966 . The biggest common factor number is the GCF number.
So the greatest common factor 963,231,966 is 3.

Lets's calculate LCM of 738,856,566

2 738, 856, 566
369, 428, 283

∴ So the LCM of the given numbers is 2 x 369 x 428 x 283 = 89389512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/89389512

Therefore, the GCF of Fractions 963/738,231/856,966/566 is 3/89389512

Least Common Multiple of 738,856,566 with GCF Formula

Least Common Multiple of 738,856,566 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 738,856,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,856,566) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(738,856,566) x common factors =2 x 2 = 4

LCM(738,856,566) = ( 738 × 856 × 566 ) / 4

LCM(738,856,566) = 357558048 / 4

LCM(738,856,566) = 89389512


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 963/738, 231/856, 966/566

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 963/738, 231/856, 966/566?

Answer: GCF of Numerators as per given numbers 963/738, 231/856, 966/566 is

GCF of Numerators i.e. for 963,231,966 is 3

LCM of denominators i.e. for 738,856,566 is 89389512.

Thus, GCF of Fractions is 3/89389512.Finally, GCF of Fractions for 963/738, 231/856, 966/566 is 3/89389512.