Greatest Common Factor of 860/605, 817/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/605, 817/717

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 860/605,817/717

Given fractions are 860/605,817/717

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 860,817

Greatest Common Factor of Numerators i.e. GCF of 860,817 is 43 .

LCM of Denominators means LCM of 605,717 as per the given fractions.

LCM of 605,717 is 433785 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,817

GCF of Fractions 860/605,817/717 is 43/433785

43 860, 817
20, 19

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 860,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,817 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 860,817 . The biggest common factor number is the GCF number.
So the greatest common factor 860,817 is 43.

Lets's calculate LCM of 605,717

Given numbers has no common factors except 1. So, there LCM is their product i.e 433785

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/433785

Therefore, the GCF of Fractions 860/605,817/717 is 43/433785

Least Common Multiple of 605,717 with GCF Formula

Least Common Multiple of 605,717 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 605,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,717) = 1

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

GCF(605,717) x common factors =1 x 1 = 1

LCM(605,717) = ( 605 × 717 ) / 1

LCM(605,717) = 433785 / 1

LCM(605,717) = 433785


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 860/605, 817/717

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 860/605, 817/717?

Answer: GCF of Numerators as per given numbers 860/605, 817/717 is

GCF of Numerators i.e. for 860,817 is 43

LCM of denominators i.e. for 605,717 is 433785.

Thus, GCF of Fractions is 43/433785.Finally, GCF of Fractions for 860/605, 817/717 is 43/433785.