Greatest Common Factor of 170/61, 188/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 170/61, 188/345

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 170/61,188/345

Given fractions are 170/61,188/345

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 170,188

Greatest Common Factor of Numerators i.e. GCF of 170,188 is 2 .

LCM of Denominators means LCM of 61,345 as per the given fractions.

LCM of 61,345 is 21045 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 170,188

GCF of Fractions 170/61,188/345 is 2/21045

2 170, 188
85, 94

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 170,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,188 By Matching Biggest Common Factor Method

Factors of 170

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

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

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 170,188 . The biggest common factor number is the GCF number.
So the greatest common factor 170,188 is 2.

Lets's calculate LCM of 61,345

Given numbers has no common factors except 1. So, there LCM is their product i.e 21045

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/21045

Therefore, the GCF of Fractions 170/61,188/345 is 2/21045

Least Common Multiple of 61,345 with GCF Formula

Least Common Multiple of 61,345 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 61,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,345) = 1

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

GCF(61,345) x common factors =1 x 1 = 1

LCM(61,345) = ( 61 × 345 ) / 1

LCM(61,345) = 21045 / 1

LCM(61,345) = 21045


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 170/61, 188/345

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 170/61, 188/345?

Answer: GCF of Numerators as per given numbers 170/61, 188/345 is

GCF of Numerators i.e. for 170,188 is 2

LCM of denominators i.e. for 61,345 is 21045.

Thus, GCF of Fractions is 2/21045.Finally, GCF of Fractions for 170/61, 188/345 is 2/21045.