GCD of 414, 585, 622, 938 Calculator

Given Input numbers are 414, 585, 622, 938

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

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 622

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

1, 2, 311, 622

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Greatest Common Divisior

We found the divisors of 414, 585, 622, 938 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 585, 622, 938 is 1.

Therefore, GCD of numbers 414, 585, 622, 938 is 1

Given Input Data is 414, 585, 622, 938

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

Prime Factorization of 414 is 2 x 3 x 3 x 23

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

Prime Factorization of 622 is 2 x 311

Prime Factorization of 938 is 2 x 7 x 67

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(414, 585) = 26910

GCD(414, 585) = ( 414 x 585 ) / 26910

GCD(414, 585) = 242190 / 26910

GCD(414, 585) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 622

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

LCM(9, 622) = 5598

GCD(9, 622) = ( 9 x 622 ) / 5598

GCD(9, 622) = 5598 / 5598

GCD(9, 622) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 938

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

LCM(1, 938) = 938

GCD(1, 938) = ( 1 x 938 ) / 938

GCD(1, 938) = 938 / 938

GCD(1, 938) = 1

GCD of 414, 585, 622, 938 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 419, 780, 847
• GCD of 911, 452, 394, 944
• GCD of 191, 212, 112, 626
• GCD of 157, 844, 373, 925
• GCD of 154, 834, 611, 407

1. What is the GCD of 414, 585, 622, 938?

GCD of 414, 585, 622, 938 is 1

2. Where do I get the detailed procedure to find GCD of 414, 585, 622, 938?

You can find a detailed procedure to find GCD of 414, 585, 622, 938 on our page.

3. How to find GCD of 414, 585, 622, 938 on a calculator?

You can find the GCD of 414, 585, 622, 938 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.