Greatest Common Factor of 13/41, 71/124, 421/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/41, 71/124, 421/127

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 13/41,71/124,421/127

Given fractions are 13/41,71/124,421/127

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 13,71,421

Greatest Common Factor of Numerators i.e. GCF of 13,71,421 is 1 .

LCM of Denominators means LCM of 41,124,127 as per the given fractions.

LCM of 41,124,127 is 645668 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,71,421

GCF of Fractions 13/41,71/124,421/127 is 1/645668

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

Greatest Common Factor of 13,71,421 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,71,421 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 71

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

1,71

Factors of 421

List of positive integer factors of 421 that divides 421 without a remainder.

1,421

Greatest Common Factor

We found the factors 13,71,421 . The biggest common factor number is the GCF number.
So the greatest common factor 13,71,421 is 1.

Lets's calculate LCM of 41,124,127

Given numbers has no common factors except 1. So, there LCM is their product i.e 645668

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/645668

Therefore, the GCF of Fractions 13/41,71/124,421/127 is 1/645668

Least Common Multiple of 41,124,127 with GCF Formula

Least Common Multiple of 41,124,127 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 41,124,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,124,127) = 1

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

GCF(41,124,127) x common factors =1 x 1 = 1

LCM(41,124,127) = ( 41 × 124 × 127 ) / 1

LCM(41,124,127) = 645668 / 1

LCM(41,124,127) = 645668


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 13/41, 71/124, 421/127

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 13/41, 71/124, 421/127?

Answer: GCF of Numerators as per given numbers 13/41, 71/124, 421/127 is

GCF of Numerators i.e. for 13,71,421 is 1

LCM of denominators i.e. for 41,124,127 is 645668.

Thus, GCF of Fractions is 1/645668.Finally, GCF of Fractions for 13/41, 71/124, 421/127 is 1/645668.