GCD of 138, 393, 209, 652 Calculator

Given Input numbers are 138, 393, 209, 652

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

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 138, 393, 209, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 138, 393, 209, 652 is 1.

Therefore, GCD of numbers 138, 393, 209, 652 is 1

Given Input Data is 138, 393, 209, 652

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

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 393 is 3 x 131

Prime Factorization of 209 is 11 x 19

Prime Factorization of 652 is 2 x 2 x 163

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(138, 393) = 18078

GCD(138, 393) = ( 138 x 393 ) / 18078

GCD(138, 393) = 54234 / 18078

GCD(138, 393) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 209

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

LCM(3, 209) = 627

GCD(3, 209) = ( 3 x 209 ) / 627

GCD(3, 209) = 627 / 627

GCD(3, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 652

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

LCM(1, 652) = 652

GCD(1, 652) = ( 1 x 652 ) / 652

GCD(1, 652) = 652 / 652

GCD(1, 652) = 1

GCD of 138, 393, 209, 652 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 386, 326, 437
• GCD of 963, 386, 681, 436
• GCD of 991, 654, 629, 227
• GCD of 448, 931, 108, 749
• GCD of 879, 848, 521, 557

1. What is the GCD of 138, 393, 209, 652?

GCD of 138, 393, 209, 652 is 1

2. Where do I get the detailed procedure to find GCD of 138, 393, 209, 652?

You can find a detailed procedure to find GCD of 138, 393, 209, 652 on our page.

3. How to find GCD of 138, 393, 209, 652 on a calculator?

You can find the GCD of 138, 393, 209, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.