GCD of 584, 209, 72, 642 Calculator

Given Input numbers are 584, 209, 72, 642

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

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 584, 209, 72, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 209, 72, 642 is 1.

Therefore, GCD of numbers 584, 209, 72, 642 is 1

Given Input Data is 584, 209, 72, 642

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

Prime Factorization of 584 is 2 x 2 x 2 x 73

Prime Factorization of 209 is 11 x 19

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 642 is 2 x 3 x 107

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(584, 209) = 122056

GCD(584, 209) = ( 584 x 209 ) / 122056

GCD(584, 209) = 122056 / 122056

GCD(584, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 584, 209, 72, 642 is 1

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1. What is the GCD of 584, 209, 72, 642?

GCD of 584, 209, 72, 642 is 1

2. Where do I get the detailed procedure to find GCD of 584, 209, 72, 642?

You can find a detailed procedure to find GCD of 584, 209, 72, 642 on our page.

3. How to find GCD of 584, 209, 72, 642 on a calculator?

You can find the GCD of 584, 209, 72, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.