GCD of 213, 322, 780, 146 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 213, 322, 780, 146 i.e. 1 largest integer that divides all the numbers equally.

GCD of 213, 322, 780, 146 is 1

GCD(213, 322, 780, 146) = 1

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

GCD of

GCD of numbers 213, 322, 780, 146 is 1

GCD(213, 322, 780, 146) = 1

GCD of 213,322,780,146 Calculator

GCDof 213,322,780,146 is 1

Given Input numbers are 213, 322, 780, 146

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 780

List of positive integer divisors of 780 that divides 780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Greatest Common Divisior

We found the divisors of 213, 322, 780, 146 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 322, 780, 146 is 1.

Therefore, GCD of numbers 213, 322, 780, 146 is 1

Finding GCD of 213, 322, 780, 146 using Prime Factorization

Given Input Data is 213, 322, 780, 146

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 780 is 2 x 2 x 3 x 5 x 13

Prime Factorization of 146 is 2 x 73

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

Finding GCD of 213, 322, 780, 146 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(213, 322) = 68586

GCD(213, 322) = ( 213 x 322 ) / 68586

GCD(213, 322) = 68586 / 68586

GCD(213, 322) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 780

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

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

GCD(1, 780) = 780 / 780

GCD(1, 780) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 146

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

LCM(1, 146) = 146

GCD(1, 146) = ( 1 x 146 ) / 146

GCD(1, 146) = 146 / 146

GCD(1, 146) = 1

GCD of 213, 322, 780, 146 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 213, 322, 780, 146

1. What is the GCD of 213, 322, 780, 146?

GCD of 213, 322, 780, 146 is 1


2. Where do I get the detailed procedure to find GCD of 213, 322, 780, 146?

You can find a detailed procedure to find GCD of 213, 322, 780, 146 on our page.


3. How to find GCD of 213, 322, 780, 146 on a calculator?

You can find the GCD of 213, 322, 780, 146 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.