GCD of 584, 756, 20, 601 Calculator

Given Input numbers are 584, 756, 20, 601

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 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 584, 756, 20, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 756, 20, 601 is 1.

Therefore, GCD of numbers 584, 756, 20, 601 is 1

Given Input Data is 584, 756, 20, 601

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 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 601 is 601

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, 756) = 110376

GCD(584, 756) = ( 584 x 756 ) / 110376

GCD(584, 756) = 441504 / 110376

GCD(584, 756) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 20

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

LCM(4, 20) = 20

GCD(4, 20) = ( 4 x 20 ) / 20

GCD(4, 20) = 80 / 20

GCD(4, 20) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 601

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

LCM(4, 601) = 2404

GCD(4, 601) = ( 4 x 601 ) / 2404

GCD(4, 601) = 2404 / 2404

GCD(4, 601) = 1

GCD of 584, 756, 20, 601 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 877, 822, 16, 715
• GCD of 942, 255, 56, 332
• GCD of 529, 760, 77, 909
• GCD of 389, 962, 46, 396
• GCD of 966, 822, 81, 701

1. What is the GCD of 584, 756, 20, 601?

GCD of 584, 756, 20, 601 is 1

2. Where do I get the detailed procedure to find GCD of 584, 756, 20, 601?

You can find a detailed procedure to find GCD of 584, 756, 20, 601 on our page.

3. How to find GCD of 584, 756, 20, 601 on a calculator?

You can find the GCD of 584, 756, 20, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.