GCD of 36, 3, 29, 90 Calculator

Given Input numbers are 36, 3, 29, 90

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 3

List of positive integer divisors of 3 that divides 3 without a remainder.

1, 3

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Greatest Common Divisior

We found the divisors of 36, 3, 29, 90 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 3, 29, 90 is 1.

Therefore, GCD of numbers 36, 3, 29, 90 is 1

Given Input Data is 36, 3, 29, 90

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 3 is 3

Prime Factorization of 29 is 29

Prime Factorization of 90 is 2 x 3 x 3 x 5

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, 3) = 36

GCD(36, 3) = ( 36 x 3 ) / 36

GCD(36, 3) = 108 / 36

GCD(36, 3) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 29

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

LCM(3, 29) = 87

GCD(3, 29) = ( 3 x 29 ) / 87

GCD(3, 29) = 87 / 87

GCD(3, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

GCD of 36, 3, 29, 90 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 6, 70, 36
• GCD of 26, 6, 24, 44
• GCD of 29, 9, 46, 58
• GCD of 71, 2, 49, 94
• GCD of 36, 2, 49, 73

1. What is the GCD of 36, 3, 29, 90?

GCD of 36, 3, 29, 90 is 1

2. Where do I get the detailed procedure to find GCD of 36, 3, 29, 90?

You can find a detailed procedure to find GCD of 36, 3, 29, 90 on our page.

3. How to find GCD of 36, 3, 29, 90 on a calculator?

You can find the GCD of 36, 3, 29, 90 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.