Greatest Common Factor of 15/413, 1604/6367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 15/413, 1604/6367

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 15/413,1604/6367

Given fractions are 15/413,1604/6367

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 15,1604

Greatest Common Factor of Numerators i.e. GCF of 15,1604 is 1 .

LCM of Denominators means LCM of 413,6367 as per the given fractions.

LCM of 413,6367 is 2629571 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 15,1604

GCF of Fractions 15/413,1604/6367 is 1/2629571

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

Greatest Common Factor of 15,1604 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,1604 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 1604

List of positive integer factors of 1604 that divides 1604 without a remainder.

1,2,4,401,802,1604

Greatest Common Factor

We found the factors 15,1604 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1604 is 1.

Lets's calculate LCM of 413,6367

Given numbers has no common factors except 1. So, there LCM is their product i.e 2629571

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2629571

Therefore, the GCF of Fractions 15/413,1604/6367 is 1/2629571

Least Common Multiple of 413,6367 with GCF Formula

Least Common Multiple of 413,6367 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 413,6367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,6367) = 1

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

GCF(413,6367) x common factors =1 x 1 = 1

LCM(413,6367) = ( 413 × 6367 ) / 1

LCM(413,6367) = 2629571 / 1

LCM(413,6367) = 2629571


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 15/413, 1604/6367

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 15/413, 1604/6367?

Answer: GCF of Numerators as per given numbers 15/413, 1604/6367 is

GCF of Numerators i.e. for 15,1604 is 1

LCM of denominators i.e. for 413,6367 is 2629571.

Thus, GCF of Fractions is 1/2629571.Finally, GCF of Fractions for 15/413, 1604/6367 is 1/2629571.