GCD of 582, 687, 708, 561 Calculator

Given Input numbers are 582, 687, 708, 561

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 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 582, 687, 708, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 582, 687, 708, 561 is 3.

Therefore, GCD of numbers 582, 687, 708, 561 is 3

Given Input Data is 582, 687, 708, 561

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 687 is 3 x 229

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 561 is 3 x 11 x 17

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(582, 687) = 133278

GCD(582, 687) = ( 582 x 687 ) / 133278

GCD(582, 687) = 399834 / 133278

GCD(582, 687) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 708

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

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

GCD(3, 708) = 2124 / 708

GCD(3, 708) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

GCD of 582, 687, 708, 561 is 3

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1. What is the GCD of 582, 687, 708, 561?

GCD of 582, 687, 708, 561 is 3

2. Where do I get the detailed procedure to find GCD of 582, 687, 708, 561?

You can find a detailed procedure to find GCD of 582, 687, 708, 561 on our page.

3. How to find GCD of 582, 687, 708, 561 on a calculator?

You can find the GCD of 582, 687, 708, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.