Greatest Common Factor of 40/46, 14/91, 31/71, 41/341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 40/46, 14/91, 31/71, 41/341

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 40/46,14/91,31/71,41/341

Given fractions are 40/46,14/91,31/71,41/341

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 40,14,31,41

Greatest Common Factor of Numerators i.e. GCF of 40,14,31,41 is 1 .

LCM of Denominators means LCM of 46,91,71,341 as per the given fractions.

LCM of 46,91,71,341 is 101347246 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 40,14,31,41

GCF of Fractions 40/46,14/91,31/71,41/341 is 1/101347246

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

Greatest Common Factor of 40,14,31,41 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,14,31,41 By Matching Biggest Common Factor Method

Factors of 40

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

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

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Greatest Common Factor

We found the factors 40,14,31,41 . The biggest common factor number is the GCF number.
So the greatest common factor 40,14,31,41 is 1.

Lets's calculate LCM of 46,91,71,341

Given numbers has no common factors except 1. So, there LCM is their product i.e 101347246

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101347246

Therefore, the GCF of Fractions 40/46,14/91,31/71,41/341 is 1/101347246

Least Common Multiple of 46,91,71,341 with GCF Formula

Least Common Multiple of 46,91,71,341 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 46,91,71,341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,91,71,341) = 1

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

GCF(46,91,71,341) x common factors =1 x 1 = 1

LCM(46,91,71,341) = ( 46 × 91 × 71 × 341 ) / 1

LCM(46,91,71,341) = 101347246 / 1

LCM(46,91,71,341) = 101347246


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 40/46, 14/91, 31/71, 41/341

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 40/46, 14/91, 31/71, 41/341?

Answer: GCF of Numerators as per given numbers 40/46, 14/91, 31/71, 41/341 is

GCF of Numerators i.e. for 40,14,31,41 is 1

LCM of denominators i.e. for 46,91,71,341 is 101347246.

Thus, GCF of Fractions is 1/101347246.Finally, GCF of Fractions for 40/46, 14/91, 31/71, 41/341 is 1/101347246.