GCD of 39, 180, 908, 622 Calculator

Given Input numbers are 39, 180, 908, 622

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

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 180

List of positive integer divisors of 180 that divides 180 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Greatest Common Divisior

We found the divisors of 39, 180, 908, 622 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 180, 908, 622 is 1.

Therefore, GCD of numbers 39, 180, 908, 622 is 1

Given Input Data is 39, 180, 908, 622

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

Prime Factorization of 39 is 3 x 13

Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 622 is 2 x 311

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(39, 180) = 2340

GCD(39, 180) = ( 39 x 180 ) / 2340

GCD(39, 180) = 7020 / 2340

GCD(39, 180) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 908

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

LCM(3, 908) = 2724

GCD(3, 908) = ( 3 x 908 ) / 2724

GCD(3, 908) = 2724 / 2724

GCD(3, 908) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 622

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

LCM(1, 622) = 622

GCD(1, 622) = ( 1 x 622 ) / 622

GCD(1, 622) = 622 / 622

GCD(1, 622) = 1

GCD of 39, 180, 908, 622 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 72, 548, 707, 649
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• GCD of 91, 893, 693, 326
• GCD of 90, 896, 768, 754
• GCD of 46, 483, 689, 313

1. What is the GCD of 39, 180, 908, 622?

GCD of 39, 180, 908, 622 is 1

2. Where do I get the detailed procedure to find GCD of 39, 180, 908, 622?

You can find a detailed procedure to find GCD of 39, 180, 908, 622 on our page.

3. How to find GCD of 39, 180, 908, 622 on a calculator?

You can find the GCD of 39, 180, 908, 622 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.