Greatest Common Factor of 13/67, 30/95, 520/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/67, 30/95, 520/114

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 13/67,30/95,520/114

Given fractions are 13/67,30/95,520/114

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 13,30,520

Greatest Common Factor of Numerators i.e. GCF of 13,30,520 is 1 .

LCM of Denominators means LCM of 67,95,114 as per the given fractions.

LCM of 67,95,114 is 38190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,30,520

GCF of Fractions 13/67,30/95,520/114 is 1/38190

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

Greatest Common Factor of 13,30,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,30,520 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 13,30,520 . The biggest common factor number is the GCF number.
So the greatest common factor 13,30,520 is 1.

Lets's calculate LCM of 67,95,114

19 67, 95, 114
67, 5, 6

∴ So the LCM of the given numbers is 19 x 67 x 5 x 6 = 38190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38190

Therefore, the GCF of Fractions 13/67,30/95,520/114 is 1/38190

Least Common Multiple of 67,95,114 with GCF Formula

Least Common Multiple of 67,95,114 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 67,95,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,95,114) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(67,95,114) x common factors =1 x 19 = 19

LCM(67,95,114) = ( 67 × 95 × 114 ) / 19

LCM(67,95,114) = 725610 / 19

LCM(67,95,114) = 38190


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 13/67, 30/95, 520/114

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 13/67, 30/95, 520/114?

Answer: GCF of Numerators as per given numbers 13/67, 30/95, 520/114 is

GCF of Numerators i.e. for 13,30,520 is 1

LCM of denominators i.e. for 67,95,114 is 38190.

Thus, GCF of Fractions is 1/38190.Finally, GCF of Fractions for 13/67, 30/95, 520/114 is 1/38190.