GCD of 364, 189, 59, 606 Calculator

Given Input numbers are 364, 189, 59, 606

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 606

List of positive integer divisors of 606 that divides 606 without a remainder.

1, 2, 3, 6, 101, 202, 303, 606

Greatest Common Divisior

We found the divisors of 364, 189, 59, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 189, 59, 606 is 1.

Therefore, GCD of numbers 364, 189, 59, 606 is 1

Given Input Data is 364, 189, 59, 606

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 59 is 59

Prime Factorization of 606 is 2 x 3 x 101

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(364, 189) = 9828

GCD(364, 189) = ( 364 x 189 ) / 9828

GCD(364, 189) = 68796 / 9828

GCD(364, 189) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 59

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

LCM(7, 59) = 413

GCD(7, 59) = ( 7 x 59 ) / 413

GCD(7, 59) = 413 / 413

GCD(7, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 606

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

LCM(1, 606) = 606

GCD(1, 606) = ( 1 x 606 ) / 606

GCD(1, 606) = 606 / 606

GCD(1, 606) = 1

GCD of 364, 189, 59, 606 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 875, 189, 44, 553
• GCD of 841, 372, 80, 430
• GCD of 145, 652, 17, 730
• GCD of 892, 595, 50, 649
• GCD of 387, 576, 29, 524

1. What is the GCD of 364, 189, 59, 606?

GCD of 364, 189, 59, 606 is 1

2. Where do I get the detailed procedure to find GCD of 364, 189, 59, 606?

You can find a detailed procedure to find GCD of 364, 189, 59, 606 on our page.

3. How to find GCD of 364, 189, 59, 606 on a calculator?

You can find the GCD of 364, 189, 59, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.