Greatest Common Factor of 271/97, 849/57, 155/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 271/97, 849/57, 155/966

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 271/97,849/57,155/966

Given fractions are 271/97,849/57,155/966

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 271,849,155

Greatest Common Factor of Numerators i.e. GCF of 271,849,155 is 1 .

LCM of Denominators means LCM of 97,57,966 as per the given fractions.

LCM of 97,57,966 is 1780338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 271,849,155

GCF of Fractions 271/97,849/57,155/966 is 1/1780338

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

Greatest Common Factor of 271,849,155 By Matching Biggest Common Factor Method

Greatest Common Factor of 271,849,155 By Matching Biggest Common Factor Method

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Factors of 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Factors of 155

List of positive integer factors of 155 that divides 155 without a remainder.

1,5,31,155

Greatest Common Factor

We found the factors 271,849,155 . The biggest common factor number is the GCF number.
So the greatest common factor 271,849,155 is 1.

Lets's calculate LCM of 97,57,966

3 97, 57, 966
97, 19, 322

∴ So the LCM of the given numbers is 3 x 97 x 19 x 322 = 1780338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1780338

Therefore, the GCF of Fractions 271/97,849/57,155/966 is 1/1780338

Least Common Multiple of 97,57,966 with GCF Formula

Least Common Multiple of 97,57,966 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 97,57,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,57,966) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(97,57,966) x common factors =1 x 3 = 3

LCM(97,57,966) = ( 97 × 57 × 966 ) / 3

LCM(97,57,966) = 5341014 / 3

LCM(97,57,966) = 1780338


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 271/97, 849/57, 155/966

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 271/97, 849/57, 155/966?

Answer: GCF of Numerators as per given numbers 271/97, 849/57, 155/966 is

GCF of Numerators i.e. for 271,849,155 is 1

LCM of denominators i.e. for 97,57,966 is 1780338.

Thus, GCF of Fractions is 1/1780338.Finally, GCF of Fractions for 271/97, 849/57, 155/966 is 1/1780338.