Greatest Common Factor of 999/17, 409/20, 613/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 999/17, 409/20, 613/17

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 999/17,409/20,613/17

Given fractions are 999/17,409/20,613/17

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 999,409,613

Greatest Common Factor of Numerators i.e. GCF of 999,409,613 is 1 .

LCM of Denominators means LCM of 17,20,17 as per the given fractions.

LCM of 17,20,17 is 340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 999,409,613

GCF of Fractions 999/17,409/20,613/17 is 1/340

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

Greatest Common Factor of 999,409,613 By Matching Biggest Common Factor Method

Greatest Common Factor of 999,409,613 By Matching Biggest Common Factor Method

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Factors of 613

List of positive integer factors of 613 that divides 613 without a remainder.

1,613

Greatest Common Factor

We found the factors 999,409,613 . The biggest common factor number is the GCF number.
So the greatest common factor 999,409,613 is 1.

Lets's calculate LCM of 17,20,17

17 17, 20, 17
1, 20, 1

∴ So the LCM of the given numbers is 17 x 1 x 20 x 1 = 340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/340

Therefore, the GCF of Fractions 999/17,409/20,613/17 is 1/340

Least Common Multiple of 17,20,17 with GCF Formula

Least Common Multiple of 17,20,17 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 17,20,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,20,17) = 1

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

GCF(17,20,17) x common factors =1 x 17 = 17

LCM(17,20,17) = ( 17 × 20 × 17 ) / 17

LCM(17,20,17) = 5780 / 17

LCM(17,20,17) = 340


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 999/17, 409/20, 613/17

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 999/17, 409/20, 613/17?

Answer: GCF of Numerators as per given numbers 999/17, 409/20, 613/17 is

GCF of Numerators i.e. for 999,409,613 is 1

LCM of denominators i.e. for 17,20,17 is 340.

Thus, GCF of Fractions is 1/340.Finally, GCF of Fractions for 999/17, 409/20, 613/17 is 1/340.