Greatest Common Factor of 56/67, 28/38, 798/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 56/67, 28/38, 798/542

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 56/67,28/38,798/542

Given fractions are 56/67,28/38,798/542

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 56,28,798

Greatest Common Factor of Numerators i.e. GCF of 56,28,798 is 14 .

LCM of Denominators means LCM of 67,38,542 as per the given fractions.

LCM of 67,38,542 is 689966 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 56,28,798

GCF of Fractions 56/67,28/38,798/542 is 14/689966

2 56, 28, 798
7 28, 14, 399
4, 2, 57

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 56,28,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,28,798 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 56,28,798 . The biggest common factor number is the GCF number.
So the greatest common factor 56,28,798 is 14.

Lets's calculate LCM of 67,38,542

2 67, 38, 542
67, 19, 271

∴ So the LCM of the given numbers is 2 x 67 x 19 x 271 = 689966

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/689966

Therefore, the GCF of Fractions 56/67,28/38,798/542 is 14/689966

Least Common Multiple of 67,38,542 with GCF Formula

Least Common Multiple of 67,38,542 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 67,38,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,38,542) = 1

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

GCF(67,38,542) x common factors =1 x 2 = 2

LCM(67,38,542) = ( 67 × 38 × 542 ) / 2

LCM(67,38,542) = 1379932 / 2

LCM(67,38,542) = 689966


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 56/67, 28/38, 798/542

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 56/67, 28/38, 798/542?

Answer: GCF of Numerators as per given numbers 56/67, 28/38, 798/542 is

GCF of Numerators i.e. for 56,28,798 is 14

LCM of denominators i.e. for 67,38,542 is 689966.

Thus, GCF of Fractions is 14/689966.Finally, GCF of Fractions for 56/67, 28/38, 798/542 is 14/689966.