Greatest Common Factor of 174/206, 9723/197

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 174/206, 9723/197

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 174/206,9723/197

Given fractions are 174/206,9723/197

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 174,9723

Greatest Common Factor of Numerators i.e. GCF of 174,9723 is 3 .

LCM of Denominators means LCM of 206,197 as per the given fractions.

LCM of 206,197 is 40582 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 174,9723

GCF of Fractions 174/206,9723/197 is 3/40582

3 174, 9723
58, 3241

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 174,9723 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,9723 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 9723

List of positive integer factors of 9723 that divides 9723 without a remainder.

1,3,7,21,463,1389,3241,9723

Greatest Common Factor

We found the factors 174,9723 . The biggest common factor number is the GCF number.
So the greatest common factor 174,9723 is 3.

Lets's calculate LCM of 206,197

Given numbers has no common factors except 1. So, there LCM is their product i.e 40582

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/40582

Therefore, the GCF of Fractions 174/206,9723/197 is 3/40582

Least Common Multiple of 206,197 with GCF Formula

Least Common Multiple of 206,197 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 206,197 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,197) = 1

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

GCF(206,197) x common factors =1 x 1 = 1

LCM(206,197) = ( 206 × 197 ) / 1

LCM(206,197) = 40582 / 1

LCM(206,197) = 40582


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 174/206, 9723/197

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 174/206, 9723/197?

Answer: GCF of Numerators as per given numbers 174/206, 9723/197 is

GCF of Numerators i.e. for 174,9723 is 3

LCM of denominators i.e. for 206,197 is 40582.

Thus, GCF of Fractions is 3/40582.Finally, GCF of Fractions for 174/206, 9723/197 is 3/40582.