Greatest Common Factor of 717/510, 8173/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 717/510, 8173/990

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 717/510,8173/990

Given fractions are 717/510,8173/990

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 717,8173

Greatest Common Factor of Numerators i.e. GCF of 717,8173 is 1 .

LCM of Denominators means LCM of 510,990 as per the given fractions.

LCM of 510,990 is 16830 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 717,8173

GCF of Fractions 717/510,8173/990 is 1/16830

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

Greatest Common Factor of 717,8173 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,8173 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1,11,743,8173

Greatest Common Factor

We found the factors 717,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 717,8173 is 1.

Lets's calculate LCM of 510,990

2 510, 990
3 255, 495
5 85, 165
17, 33

∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 33 = 16830

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16830

Therefore, the GCF of Fractions 717/510,8173/990 is 1/16830

Least Common Multiple of 510,990 with GCF Formula

Least Common Multiple of 510,990 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 510,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(510,990) = 30

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

GCF(510,990) x common factors =30 x 1 = 30

LCM(510,990) = ( 510 × 990 ) / 30

LCM(510,990) = 504900 / 30

LCM(510,990) = 16830


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 717/510, 8173/990

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 717/510, 8173/990?

Answer: GCF of Numerators as per given numbers 717/510, 8173/990 is

GCF of Numerators i.e. for 717,8173 is 1

LCM of denominators i.e. for 510,990 is 16830.

Thus, GCF of Fractions is 1/16830.Finally, GCF of Fractions for 717/510, 8173/990 is 1/16830.