Greatest Common Factor of 71/13, 43/67, 13/16, 40/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/13, 43/67, 13/16, 40/31

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 71/13,43/67,13/16,40/31

Given fractions are 71/13,43/67,13/16,40/31

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 71,43,13,40

Greatest Common Factor of Numerators i.e. GCF of 71,43,13,40 is 1 .

LCM of Denominators means LCM of 13,67,16,31 as per the given fractions.

LCM of 13,67,16,31 is 432016 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,43,13,40

GCF of Fractions 71/13,43/67,13/16,40/31 is 1/432016

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

Greatest Common Factor of 71,43,13,40 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,43,13,40 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 13

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

1,13

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Greatest Common Factor

We found the factors 71,43,13,40 . The biggest common factor number is the GCF number.
So the greatest common factor 71,43,13,40 is 1.

Lets's calculate LCM of 13,67,16,31

Given numbers has no common factors except 1. So, there LCM is their product i.e 432016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/432016

Therefore, the GCF of Fractions 71/13,43/67,13/16,40/31 is 1/432016

Least Common Multiple of 13,67,16,31 with GCF Formula

Least Common Multiple of 13,67,16,31 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 13,67,16,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,67,16,31) = 1

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

GCF(13,67,16,31) x common factors =1 x 1 = 1

LCM(13,67,16,31) = ( 13 × 67 × 16 × 31 ) / 1

LCM(13,67,16,31) = 432016 / 1

LCM(13,67,16,31) = 432016


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 71/13, 43/67, 13/16, 40/31

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 71/13, 43/67, 13/16, 40/31?

Answer: GCF of Numerators as per given numbers 71/13, 43/67, 13/16, 40/31 is

GCF of Numerators i.e. for 71,43,13,40 is 1

LCM of denominators i.e. for 13,67,16,31 is 432016.

Thus, GCF of Fractions is 1/432016.Finally, GCF of Fractions for 71/13, 43/67, 13/16, 40/31 is 1/432016.