Greatest Common Factor of 5/13, 76/67, 56/255, 103/754

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/13, 76/67, 56/255, 103/754

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 5/13,76/67,56/255,103/754

Given fractions are 5/13,76/67,56/255,103/754

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 5,76,56,103

Greatest Common Factor of Numerators i.e. GCF of 5,76,56,103 is 1 .

LCM of Denominators means LCM of 13,67,255,754 as per the given fractions.

LCM of 13,67,255,754 is 12882090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,76,56,103

GCF of Fractions 5/13,76/67,56/255,103/754 is 1/12882090

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5,76,56,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,76,56,103 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 5,76,56,103 . The biggest common factor number is the GCF number.
So the greatest common factor 5,76,56,103 is 1.

Lets's calculate LCM of 13,67,255,754

13 13, 67, 255, 754
1, 67, 255, 58

∴ So the LCM of the given numbers is 13 x 1 x 67 x 255 x 58 = 12882090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12882090

Therefore, the GCF of Fractions 5/13,76/67,56/255,103/754 is 1/12882090

Least Common Multiple of 13,67,255,754 with GCF Formula

Least Common Multiple of 13,67,255,754 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 13,67,255,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,67,255,754) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(13,67,255,754) x common factors =1 x 13 = 13

LCM(13,67,255,754) = ( 13 × 67 × 255 × 754 ) / 13

LCM(13,67,255,754) = 167467170 / 13

LCM(13,67,255,754) = 12882090


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 5/13, 76/67, 56/255, 103/754

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 5/13, 76/67, 56/255, 103/754?

Answer: GCF of Numerators as per given numbers 5/13, 76/67, 56/255, 103/754 is

GCF of Numerators i.e. for 5,76,56,103 is 1

LCM of denominators i.e. for 13,67,255,754 is 12882090.

Thus, GCF of Fractions is 1/12882090.Finally, GCF of Fractions for 5/13, 76/67, 56/255, 103/754 is 1/12882090.