GCD of 565, 138, 906, 396 Calculator

Given Input numbers are 565, 138, 906, 396

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

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 565, 138, 906, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 565, 138, 906, 396 is 1.

Therefore, GCD of numbers 565, 138, 906, 396 is 1

Given Input Data is 565, 138, 906, 396

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

Prime Factorization of 565 is 5 x 113

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(565, 138) = 77970

GCD(565, 138) = ( 565 x 138 ) / 77970

GCD(565, 138) = 77970 / 77970

GCD(565, 138) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 906

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

LCM(1, 906) = 906

GCD(1, 906) = ( 1 x 906 ) / 906

GCD(1, 906) = 906 / 906

GCD(1, 906) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 565, 138, 906, 396 is 1

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1. What is the GCD of 565, 138, 906, 396?

GCD of 565, 138, 906, 396 is 1

2. Where do I get the detailed procedure to find GCD of 565, 138, 906, 396?

You can find a detailed procedure to find GCD of 565, 138, 906, 396 on our page.

3. How to find GCD of 565, 138, 906, 396 on a calculator?

You can find the GCD of 565, 138, 906, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.