GCD of 36, 985, 550, 122 Calculator

Given Input numbers are 36, 985, 550, 122

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 36, 985, 550, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 985, 550, 122 is 1.

Therefore, GCD of numbers 36, 985, 550, 122 is 1

Given Input Data is 36, 985, 550, 122

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 985 is 5 x 197

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 122 is 2 x 61

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, 985) = 35460

GCD(36, 985) = ( 36 x 985 ) / 35460

GCD(36, 985) = 35460 / 35460

GCD(36, 985) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 550

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

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

GCD(1, 550) = 550 / 550

GCD(1, 550) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 36, 985, 550, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 49, 417, 514, 632
• GCD of 81, 632, 404, 262
• GCD of 51, 932, 551, 521
• GCD of 18, 856, 243, 221
• GCD of 46, 824, 258, 420

1. What is the GCD of 36, 985, 550, 122?

GCD of 36, 985, 550, 122 is 1

2. Where do I get the detailed procedure to find GCD of 36, 985, 550, 122?

You can find a detailed procedure to find GCD of 36, 985, 550, 122 on our page.

3. How to find GCD of 36, 985, 550, 122 on a calculator?

You can find the GCD of 36, 985, 550, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.