GCD of 36, 669, 405, 734 Calculator

Given Input numbers are 36, 669, 405, 734

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 36, 669, 405, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 669, 405, 734 is 1.

Therefore, GCD of numbers 36, 669, 405, 734 is 1

Given Input Data is 36, 669, 405, 734

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 669 is 3 x 223

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 734 is 2 x 367

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, 669) = 8028

GCD(36, 669) = ( 36 x 669 ) / 8028

GCD(36, 669) = 24084 / 8028

GCD(36, 669) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 405

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

LCM(3, 405) = 405

GCD(3, 405) = ( 3 x 405 ) / 405

GCD(3, 405) = 1215 / 405

GCD(3, 405) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 734

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

LCM(3, 734) = 2202

GCD(3, 734) = ( 3 x 734 ) / 2202

GCD(3, 734) = 2202 / 2202

GCD(3, 734) = 1

GCD of 36, 669, 405, 734 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 354, 725, 972
• GCD of 13, 534, 874, 222
• GCD of 95, 509, 776, 701
• GCD of 57, 363, 803, 943
• GCD of 93, 451, 163, 367

1. What is the GCD of 36, 669, 405, 734?

GCD of 36, 669, 405, 734 is 1

2. Where do I get the detailed procedure to find GCD of 36, 669, 405, 734?

You can find a detailed procedure to find GCD of 36, 669, 405, 734 on our page.

3. How to find GCD of 36, 669, 405, 734 on a calculator?

You can find the GCD of 36, 669, 405, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.