GCD of 72, 705, 582, 594 Calculator

Given Input numbers are 72, 705, 582, 594

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

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 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 582

List of positive integer divisors of 582 that divides 582 without a remainder.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 72, 705, 582, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 72, 705, 582, 594 is 3.

Therefore, GCD of numbers 72, 705, 582, 594 is 3

Given Input Data is 72, 705, 582, 594

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

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

Prime Factorization of 705 is 3 x 5 x 47

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(72, 705) = 16920

GCD(72, 705) = ( 72 x 705 ) / 16920

GCD(72, 705) = 50760 / 16920

GCD(72, 705) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 582

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

LCM(3, 582) = 582

GCD(3, 582) = ( 3 x 582 ) / 582

GCD(3, 582) = 1746 / 582

GCD(3, 582) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 594

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

LCM(3, 594) = 594

GCD(3, 594) = ( 3 x 594 ) / 594

GCD(3, 594) = 1782 / 594

GCD(3, 594) = 3

GCD of 72, 705, 582, 594 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 82, 306, 764, 858
• GCD of 39, 243, 221, 512
• GCD of 47, 146, 378, 892
• GCD of 71, 999, 933, 614
• GCD of 65, 173, 265, 508

1. What is the GCD of 72, 705, 582, 594?

GCD of 72, 705, 582, 594 is 3

2. Where do I get the detailed procedure to find GCD of 72, 705, 582, 594?

You can find a detailed procedure to find GCD of 72, 705, 582, 594 on our page.

3. How to find GCD of 72, 705, 582, 594 on a calculator?

You can find the GCD of 72, 705, 582, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.