Greatest Common Factor of 1563/12, 2766/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1563/12, 2766/788

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 1563/12,2766/788

Given fractions are 1563/12,2766/788

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 1563,2766

Greatest Common Factor of Numerators i.e. GCF of 1563,2766 is 3 .

LCM of Denominators means LCM of 12,788 as per the given fractions.

LCM of 12,788 is 2364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1563,2766

GCF of Fractions 1563/12,2766/788 is 3/2364

3 1563, 2766
521, 922

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

Greatest Common Factor of 1563,2766 By Matching Biggest Common Factor Method

Greatest Common Factor of 1563,2766 By Matching Biggest Common Factor Method

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1,2,3,6,461,922,1383,2766

Greatest Common Factor

We found the factors 1563,2766 . The biggest common factor number is the GCF number.
So the greatest common factor 1563,2766 is 3.

Lets's calculate LCM of 12,788

2 12, 788
2 6, 394
3, 197

∴ So the LCM of the given numbers is 2 x 2 x 3 x 197 = 2364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2364

Therefore, the GCF of Fractions 1563/12,2766/788 is 3/2364

Least Common Multiple of 12,788 with GCF Formula

Least Common Multiple of 12,788 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 12,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,788) = 4

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

GCF(12,788) x common factors =4 x 1 = 4

LCM(12,788) = ( 12 × 788 ) / 4

LCM(12,788) = 9456 / 4

LCM(12,788) = 2364


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 1563/12, 2766/788

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 1563/12, 2766/788?

Answer: GCF of Numerators as per given numbers 1563/12, 2766/788 is

GCF of Numerators i.e. for 1563,2766 is 3

LCM of denominators i.e. for 12,788 is 2364.

Thus, GCF of Fractions is 3/2364.Finally, GCF of Fractions for 1563/12, 2766/788 is 3/2364.