GCD of 231, 965, 15, 464 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 231, 965, 15, 464 i.e. 1 largest integer that divides all the numbers equally.

GCD of 231, 965, 15, 464 is 1

GCD(231, 965, 15, 464) = 1

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

GCD of

GCD of numbers 231, 965, 15, 464 is 1

GCD(231, 965, 15, 464) = 1

GCD of 231,965,15,464 Calculator

GCDof 231,965,15,464 is 1

Given Input numbers are 231, 965, 15, 464

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

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 965

List of positive integer divisors of 965 that divides 965 without a remainder.

1, 5, 193, 965

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Greatest Common Divisior

We found the divisors of 231, 965, 15, 464 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 231, 965, 15, 464 is 1.

Therefore, GCD of numbers 231, 965, 15, 464 is 1

Finding GCD of 231, 965, 15, 464 using Prime Factorization

Given Input Data is 231, 965, 15, 464

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

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 965 is 5 x 193

Prime Factorization of 15 is 3 x 5

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

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

Finding GCD of 231, 965, 15, 464 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(231, 965) = 222915

GCD(231, 965) = ( 231 x 965 ) / 222915

GCD(231, 965) = 222915 / 222915

GCD(231, 965) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 464

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

LCM(1, 464) = 464

GCD(1, 464) = ( 1 x 464 ) / 464

GCD(1, 464) = 464 / 464

GCD(1, 464) = 1

GCD of 231, 965, 15, 464 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 231, 965, 15, 464

1. What is the GCD of 231, 965, 15, 464?

GCD of 231, 965, 15, 464 is 1


2. Where do I get the detailed procedure to find GCD of 231, 965, 15, 464?

You can find a detailed procedure to find GCD of 231, 965, 15, 464 on our page.


3. How to find GCD of 231, 965, 15, 464 on a calculator?

You can find the GCD of 231, 965, 15, 464 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.