GCD of 274, 831, 241, 159 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 274, 831, 241, 159 i.e. 1 largest integer that divides all the numbers equally.

GCD of 274, 831, 241, 159 is 1

GCD(274, 831, 241, 159) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 274, 831, 241, 159 is 1

GCD(274, 831, 241, 159) = 1

GCD of 274,831,241,159 Calculator

GCDof 274,831,241,159 is 1

Given Input numbers are 274, 831, 241, 159

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 274, 831, 241, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 831, 241, 159 is 1.

Therefore, GCD of numbers 274, 831, 241, 159 is 1

Finding GCD of 274, 831, 241, 159 using Prime Factorization

Given Input Data is 274, 831, 241, 159

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 274 is 2 x 137

Prime Factorization of 831 is 3 x 277

Prime Factorization of 241 is 241

Prime Factorization of 159 is 3 x 53

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 274, 831, 241, 159 using LCM Formula

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(274, 831) = 227694

GCD(274, 831) = ( 274 x 831 ) / 227694

GCD(274, 831) = 227694 / 227694

GCD(274, 831) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 241

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

GCD(1, 241) = 241 / 241

GCD(1, 241) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 274, 831, 241, 159 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 274, 831, 241, 159

1. What is the GCD of 274, 831, 241, 159?

GCD of 274, 831, 241, 159 is 1


2. Where do I get the detailed procedure to find GCD of 274, 831, 241, 159?

You can find a detailed procedure to find GCD of 274, 831, 241, 159 on our page.


3. How to find GCD of 274, 831, 241, 159 on a calculator?

You can find the GCD of 274, 831, 241, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.