Greatest Common Factor of 171/18, 110/37, 860/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 171/18, 110/37, 860/335

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 171/18,110/37,860/335

Given fractions are 171/18,110/37,860/335

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 171,110,860

Greatest Common Factor of Numerators i.e. GCF of 171,110,860 is 1 .

LCM of Denominators means LCM of 18,37,335 as per the given fractions.

LCM of 18,37,335 is 223110 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 171,110,860

GCF of Fractions 171/18,110/37,860/335 is 1/223110

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

Greatest Common Factor of 171,110,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,110,860 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

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

Greatest Common Factor

We found the factors 171,110,860 . The biggest common factor number is the GCF number.
So the greatest common factor 171,110,860 is 1.

Lets's calculate LCM of 18,37,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 223110

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/223110

Therefore, the GCF of Fractions 171/18,110/37,860/335 is 1/223110

Least Common Multiple of 18,37,335 with GCF Formula

Least Common Multiple of 18,37,335 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 18,37,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,37,335) = 1

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

GCF(18,37,335) x common factors =1 x 1 = 1

LCM(18,37,335) = ( 18 × 37 × 335 ) / 1

LCM(18,37,335) = 223110 / 1

LCM(18,37,335) = 223110


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 171/18, 110/37, 860/335

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 171/18, 110/37, 860/335?

Answer: GCF of Numerators as per given numbers 171/18, 110/37, 860/335 is

GCF of Numerators i.e. for 171,110,860 is 1

LCM of denominators i.e. for 18,37,335 is 223110.

Thus, GCF of Fractions is 1/223110.Finally, GCF of Fractions for 171/18, 110/37, 860/335 is 1/223110.