Greatest Common Factor of 41/15, 685/34, 331/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 41/15, 685/34, 331/629

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 41/15,685/34,331/629

Given fractions are 41/15,685/34,331/629

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 41,685,331

Greatest Common Factor of Numerators i.e. GCF of 41,685,331 is 1 .

LCM of Denominators means LCM of 15,34,629 as per the given fractions.

LCM of 15,34,629 is 18870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 41,685,331

GCF of Fractions 41/15,685/34,331/629 is 1/18870

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

Greatest Common Factor of 41,685,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,685,331 By Matching Biggest Common Factor Method

Factors of 41

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

1,41

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 41,685,331 . The biggest common factor number is the GCF number.
So the greatest common factor 41,685,331 is 1.

Lets's calculate LCM of 15,34,629

17 15, 34, 629
15, 2, 37

∴ So the LCM of the given numbers is 17 x 15 x 2 x 37 = 18870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18870

Therefore, the GCF of Fractions 41/15,685/34,331/629 is 1/18870

Least Common Multiple of 15,34,629 with GCF Formula

Least Common Multiple of 15,34,629 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 15,34,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,34,629) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(15,34,629) x common factors =1 x 17 = 17

LCM(15,34,629) = ( 15 × 34 × 629 ) / 17

LCM(15,34,629) = 320790 / 17

LCM(15,34,629) = 18870


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 41/15, 685/34, 331/629

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 41/15, 685/34, 331/629?

Answer: GCF of Numerators as per given numbers 41/15, 685/34, 331/629 is

GCF of Numerators i.e. for 41,685,331 is 1

LCM of denominators i.e. for 15,34,629 is 18870.

Thus, GCF of Fractions is 1/18870.Finally, GCF of Fractions for 41/15, 685/34, 331/629 is 1/18870.