Greatest Common Factor of 195/19, 373/42, 190/973

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/19, 373/42, 190/973

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 195/19,373/42,190/973

Given fractions are 195/19,373/42,190/973

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 195,373,190

Greatest Common Factor of Numerators i.e. GCF of 195,373,190 is 1 .

LCM of Denominators means LCM of 19,42,973 as per the given fractions.

LCM of 19,42,973 is 110922 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,373,190

GCF of Fractions 195/19,373/42,190/973 is 1/110922

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

Greatest Common Factor of 195,373,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,373,190 By Matching Biggest Common Factor Method

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 195,373,190 . The biggest common factor number is the GCF number.
So the greatest common factor 195,373,190 is 1.

Lets's calculate LCM of 19,42,973

7 19, 42, 973
19, 6, 139

∴ So the LCM of the given numbers is 7 x 19 x 6 x 139 = 110922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110922

Therefore, the GCF of Fractions 195/19,373/42,190/973 is 1/110922

Least Common Multiple of 19,42,973 with GCF Formula

Least Common Multiple of 19,42,973 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 19,42,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,42,973) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(19,42,973) x common factors =1 x 7 = 7

LCM(19,42,973) = ( 19 × 42 × 973 ) / 7

LCM(19,42,973) = 776454 / 7

LCM(19,42,973) = 110922


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 195/19, 373/42, 190/973

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 195/19, 373/42, 190/973?

Answer: GCF of Numerators as per given numbers 195/19, 373/42, 190/973 is

GCF of Numerators i.e. for 195,373,190 is 1

LCM of denominators i.e. for 19,42,973 is 110922.

Thus, GCF of Fractions is 1/110922.Finally, GCF of Fractions for 195/19, 373/42, 190/973 is 1/110922.