GCD of 37, 122, 585, 624 Calculator

Given Input numbers are 37, 122, 585, 624

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 122

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

1, 2, 61, 122

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 624

List of positive integer divisors of 624 that divides 624 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Greatest Common Divisior

We found the divisors of 37, 122, 585, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 122, 585, 624 is 1.

Therefore, GCD of numbers 37, 122, 585, 624 is 1

Given Input Data is 37, 122, 585, 624

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

Prime Factorization of 37 is 37

Prime Factorization of 122 is 2 x 61

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13

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(37, 122) = 4514

GCD(37, 122) = ( 37 x 122 ) / 4514

GCD(37, 122) = 4514 / 4514

GCD(37, 122) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 585

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

LCM(1, 585) = 585

GCD(1, 585) = ( 1 x 585 ) / 585

GCD(1, 585) = 585 / 585

GCD(1, 585) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 624

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

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

GCD(1, 624) = 624 / 624

GCD(1, 624) = 1

GCD of 37, 122, 585, 624 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 41, 135, 429, 715
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• GCD of 21, 236, 347, 102
• GCD of 17, 767, 191, 249

1. What is the GCD of 37, 122, 585, 624?

GCD of 37, 122, 585, 624 is 1

2. Where do I get the detailed procedure to find GCD of 37, 122, 585, 624?

You can find a detailed procedure to find GCD of 37, 122, 585, 624 on our page.

3. How to find GCD of 37, 122, 585, 624 on a calculator?

You can find the GCD of 37, 122, 585, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.