Greatest Common Factor of 97/271, 53/184, 159/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 97/271, 53/184, 159/390

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 97/271,53/184,159/390

Given fractions are 97/271,53/184,159/390

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 97,53,159

Greatest Common Factor of Numerators i.e. GCF of 97,53,159 is 1 .

LCM of Denominators means LCM of 271,184,390 as per the given fractions.

LCM of 271,184,390 is 9723480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 97,53,159

GCF of Fractions 97/271,53/184,159/390 is 1/9723480

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

Greatest Common Factor of 97,53,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,53,159 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 97,53,159 . The biggest common factor number is the GCF number.
So the greatest common factor 97,53,159 is 1.

Lets's calculate LCM of 271,184,390

2 271, 184, 390
271, 92, 195

∴ So the LCM of the given numbers is 2 x 271 x 92 x 195 = 9723480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9723480

Therefore, the GCF of Fractions 97/271,53/184,159/390 is 1/9723480

Least Common Multiple of 271,184,390 with GCF Formula

Least Common Multiple of 271,184,390 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 271,184,390 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,184,390) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(271,184,390) x common factors =1 x 2 = 2

LCM(271,184,390) = ( 271 × 184 × 390 ) / 2

LCM(271,184,390) = 19446960 / 2

LCM(271,184,390) = 9723480


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 97/271, 53/184, 159/390

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 97/271, 53/184, 159/390?

Answer: GCF of Numerators as per given numbers 97/271, 53/184, 159/390 is

GCF of Numerators i.e. for 97,53,159 is 1

LCM of denominators i.e. for 271,184,390 is 9723480.

Thus, GCF of Fractions is 1/9723480.Finally, GCF of Fractions for 97/271, 53/184, 159/390 is 1/9723480.