Greatest Common Factor of 860/75, 170/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 860/75, 170/291

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 860/75,170/291

Given fractions are 860/75,170/291

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 860,170

Greatest Common Factor of Numerators i.e. GCF of 860,170 is 10 .

LCM of Denominators means LCM of 75,291 as per the given fractions.

LCM of 75,291 is 7275 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 860,170

GCF of Fractions 860/75,170/291 is 10/7275

2 860, 170
5 430, 85
86, 17

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 860,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,170 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 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Greatest Common Factor

We found the factors 860,170 . The biggest common factor number is the GCF number.
So the greatest common factor 860,170 is 10.

Lets's calculate LCM of 75,291

3 75, 291
25, 97

∴ So the LCM of the given numbers is 3 x 25 x 97 = 7275

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/7275

Therefore, the GCF of Fractions 860/75,170/291 is 10/7275

Least Common Multiple of 75,291 with GCF Formula

Least Common Multiple of 75,291 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 75,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,291) = 3

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

GCF(75,291) x common factors =3 x 1 = 3

LCM(75,291) = ( 75 × 291 ) / 3

LCM(75,291) = 21825 / 3

LCM(75,291) = 7275


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 860/75, 170/291

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 860/75, 170/291?

Answer: GCF of Numerators as per given numbers 860/75, 170/291 is

GCF of Numerators i.e. for 860,170 is 10

LCM of denominators i.e. for 75,291 is 7275.

Thus, GCF of Fractions is 10/7275.Finally, GCF of Fractions for 860/75, 170/291 is 10/7275.