GCD of 585, 619, 21, 128 Calculator

Given Input numbers are 585, 619, 21, 128

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

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 619

List of positive integer divisors of 619 that divides 619 without a remainder.

1, 619

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 128

List of positive integer divisors of 128 that divides 128 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128

Greatest Common Divisior

We found the divisors of 585, 619, 21, 128 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 585, 619, 21, 128 is 1.

Therefore, GCD of numbers 585, 619, 21, 128 is 1

Given Input Data is 585, 619, 21, 128

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

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

Prime Factorization of 619 is 619

Prime Factorization of 21 is 3 x 7

Prime Factorization of 128 is 2 x 2 x 2 x 2 x 2 x 2 x 2

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(585, 619) = 362115

GCD(585, 619) = ( 585 x 619 ) / 362115

GCD(585, 619) = 362115 / 362115

GCD(585, 619) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 128

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

LCM(1, 128) = 128

GCD(1, 128) = ( 1 x 128 ) / 128

GCD(1, 128) = 128 / 128

GCD(1, 128) = 1

GCD of 585, 619, 21, 128 is 1

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1. What is the GCD of 585, 619, 21, 128?

GCD of 585, 619, 21, 128 is 1

2. Where do I get the detailed procedure to find GCD of 585, 619, 21, 128?

You can find a detailed procedure to find GCD of 585, 619, 21, 128 on our page.

3. How to find GCD of 585, 619, 21, 128 on a calculator?

You can find the GCD of 585, 619, 21, 128 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.