GCD of 582, 486, 36, 678 Calculator

Given Input numbers are 582, 486, 36, 678

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

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 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Greatest Common Divisior

We found the divisors of 582, 486, 36, 678 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 486, 36, 678 is 6.

Therefore, GCD of numbers 582, 486, 36, 678 is 6

Given Input Data is 582, 486, 36, 678

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

Prime Factorization of 582 is 2 x 3 x 97

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 678 is 2 x 3 x 113

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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(582, 486) = 47142

GCD(582, 486) = ( 582 x 486 ) / 47142

GCD(582, 486) = 282852 / 47142

GCD(582, 486) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 36

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

LCM(6, 36) = 36

GCD(6, 36) = ( 6 x 36 ) / 36

GCD(6, 36) = 216 / 36

GCD(6, 36) = 6

Step3:

Here we consider the GCD from the above i.e. 6 as first number and the next as 678

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

LCM(6, 678) = 678

GCD(6, 678) = ( 6 x 678 ) / 678

GCD(6, 678) = 4068 / 678

GCD(6, 678) = 6

GCD of 582, 486, 36, 678 is 6

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1. What is the GCD of 582, 486, 36, 678?

GCD of 582, 486, 36, 678 is 6

2. Where do I get the detailed procedure to find GCD of 582, 486, 36, 678?

You can find a detailed procedure to find GCD of 582, 486, 36, 678 on our page.

3. How to find GCD of 582, 486, 36, 678 on a calculator?

You can find the GCD of 582, 486, 36, 678 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.