GCD of 152, 610, 87, 231 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 152, 610, 87, 231 i.e. 1 largest integer that divides all the numbers equally.

GCD of 152, 610, 87, 231 is 1

GCD(152, 610, 87, 231) = 1

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

GCD of

GCD of numbers 152, 610, 87, 231 is 1

GCD(152, 610, 87, 231) = 1

GCD of 152,610,87,231 Calculator

GCDof 152,610,87,231 is 1

Given Input numbers are 152, 610, 87, 231

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 231

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

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

Greatest Common Divisior

We found the divisors of 152, 610, 87, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 610, 87, 231 is 1.

Therefore, GCD of numbers 152, 610, 87, 231 is 1

Finding GCD of 152, 610, 87, 231 using Prime Factorization

Given Input Data is 152, 610, 87, 231

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 87 is 3 x 29

Prime Factorization of 231 is 3 x 7 x 11

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

Finding GCD of 152, 610, 87, 231 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(152, 610) = 46360

GCD(152, 610) = ( 152 x 610 ) / 46360

GCD(152, 610) = 92720 / 46360

GCD(152, 610) = 2


Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 87

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

LCM(2, 87) = 174

GCD(2, 87) = ( 2 x 87 ) / 174

GCD(2, 87) = 174 / 174

GCD(2, 87) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 152, 610, 87, 231 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 152, 610, 87, 231

1. What is the GCD of 152, 610, 87, 231?

GCD of 152, 610, 87, 231 is 1


2. Where do I get the detailed procedure to find GCD of 152, 610, 87, 231?

You can find a detailed procedure to find GCD of 152, 610, 87, 231 on our page.


3. How to find GCD of 152, 610, 87, 231 on a calculator?

You can find the GCD of 152, 610, 87, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.