Greatest Common Factor of 768/44, 567/42, 756/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/44, 567/42, 756/15

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 768/44,567/42,756/15

Given fractions are 768/44,567/42,756/15

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 768,567,756

Greatest Common Factor of Numerators i.e. GCF of 768,567,756 is 3 .

LCM of Denominators means LCM of 44,42,15 as per the given fractions.

LCM of 44,42,15 is 4620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,567,756

GCF of Fractions 768/44,567/42,756/15 is 3/4620

3 768, 567, 756
256, 189, 252

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

Greatest Common Factor of 768,567,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,567,756 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 768,567,756 . The biggest common factor number is the GCF number.
So the greatest common factor 768,567,756 is 3.

Lets's calculate LCM of 44,42,15

2 44, 42, 15
3 22, 21, 15
22, 7, 5

∴ So the LCM of the given numbers is 2 x 3 x 22 x 7 x 5 = 4620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4620

Therefore, the GCF of Fractions 768/44,567/42,756/15 is 3/4620

Least Common Multiple of 44,42,15 with GCF Formula

Least Common Multiple of 44,42,15 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 44,42,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,42,15) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,42,15) x common factors =1 x 6 = 6

LCM(44,42,15) = ( 44 × 42 × 15 ) / 6

LCM(44,42,15) = 27720 / 6

LCM(44,42,15) = 4620


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 768/44, 567/42, 756/15

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 768/44, 567/42, 756/15?

Answer: GCF of Numerators as per given numbers 768/44, 567/42, 756/15 is

GCF of Numerators i.e. for 768,567,756 is 3

LCM of denominators i.e. for 44,42,15 is 4620.

Thus, GCF of Fractions is 3/4620.Finally, GCF of Fractions for 768/44, 567/42, 756/15 is 3/4620.