GCD of 213, 759, 325, 399 Calculator

Given Input numbers are 213, 759, 325, 399

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 759

List of positive integer divisors of 759 that divides 759 without a remainder.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Greatest Common Divisior

We found the divisors of 213, 759, 325, 399 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 759, 325, 399 is 1.

Therefore, GCD of numbers 213, 759, 325, 399 is 1

Given Input Data is 213, 759, 325, 399

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 759 is 3 x 11 x 23

Prime Factorization of 325 is 5 x 5 x 13

Prime Factorization of 399 is 3 x 7 x 19

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

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, 759) = 53889

GCD(213, 759) = ( 213 x 759 ) / 53889

GCD(213, 759) = 161667 / 53889

GCD(213, 759) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 325

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

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

GCD(3, 325) = 975 / 975

GCD(3, 325) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 399

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

LCM(1, 399) = 399

GCD(1, 399) = ( 1 x 399 ) / 399

GCD(1, 399) = 399 / 399

GCD(1, 399) = 1

GCD of 213, 759, 325, 399 is 1

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1. What is the GCD of 213, 759, 325, 399?

GCD of 213, 759, 325, 399 is 1

2. Where do I get the detailed procedure to find GCD of 213, 759, 325, 399?

You can find a detailed procedure to find GCD of 213, 759, 325, 399 on our page.

3. How to find GCD of 213, 759, 325, 399 on a calculator?

You can find the GCD of 213, 759, 325, 399 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.