GCD of 36, 190, 917, 629 Calculator

Given Input numbers are 36, 190, 917, 629

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 36, 190, 917, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 190, 917, 629 is 1.

Therefore, GCD of numbers 36, 190, 917, 629 is 1

Given Input Data is 36, 190, 917, 629

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 917 is 7 x 131

Prime Factorization of 629 is 17 x 37

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(36, 190) = 3420

GCD(36, 190) = ( 36 x 190 ) / 3420

GCD(36, 190) = 6840 / 3420

GCD(36, 190) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

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

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 629

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

LCM(1, 629) = 629

GCD(1, 629) = ( 1 x 629 ) / 629

GCD(1, 629) = 629 / 629

GCD(1, 629) = 1

GCD of 36, 190, 917, 629 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 611, 505, 986
• GCD of 36, 771, 397, 510
• GCD of 29, 959, 718, 987
• GCD of 95, 758, 827, 994
• GCD of 22, 326, 818, 226

1. What is the GCD of 36, 190, 917, 629?

GCD of 36, 190, 917, 629 is 1

2. Where do I get the detailed procedure to find GCD of 36, 190, 917, 629?

You can find a detailed procedure to find GCD of 36, 190, 917, 629 on our page.

3. How to find GCD of 36, 190, 917, 629 on a calculator?

You can find the GCD of 36, 190, 917, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.