Greatest Common Factor of 195/973, 321/910, 974/899

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 195/973, 321/910, 974/899

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 195/973,321/910,974/899

Given fractions are 195/973,321/910,974/899

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 195,321,974

Greatest Common Factor of Numerators i.e. GCF of 195,321,974 is 1 .

LCM of Denominators means LCM of 973,910,899 as per the given fractions.

LCM of 973,910,899 is 113714510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 195,321,974

GCF of Fractions 195/973,321/910,974/899 is 1/113714510

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

Greatest Common Factor of 195,321,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,321,974 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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Greatest Common Factor

We found the factors 195,321,974 . The biggest common factor number is the GCF number.
So the greatest common factor 195,321,974 is 1.

Lets's calculate LCM of 973,910,899

7 973, 910, 899
139, 130, 899

∴ So the LCM of the given numbers is 7 x 139 x 130 x 899 = 113714510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113714510

Therefore, the GCF of Fractions 195/973,321/910,974/899 is 1/113714510

Least Common Multiple of 973,910,899 with GCF Formula

Least Common Multiple of 973,910,899 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 973,910,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(973,910,899) = 1

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

GCF(973,910,899) x common factors =1 x 7 = 7

LCM(973,910,899) = ( 973 × 910 × 899 ) / 7

LCM(973,910,899) = 796001570 / 7

LCM(973,910,899) = 113714510


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 195/973, 321/910, 974/899

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 195/973, 321/910, 974/899?

Answer: GCF of Numerators as per given numbers 195/973, 321/910, 974/899 is

GCF of Numerators i.e. for 195,321,974 is 1

LCM of denominators i.e. for 973,910,899 is 113714510.

Thus, GCF of Fractions is 1/113714510.Finally, GCF of Fractions for 195/973, 321/910, 974/899 is 1/113714510.