GCD of 561, 828, 486, 657 Calculator

Given Input numbers are 561, 828, 486, 657

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

Divisors of 561

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

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 561, 828, 486, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 828, 486, 657 is 3.

Therefore, GCD of numbers 561, 828, 486, 657 is 3

Given Input Data is 561, 828, 486, 657

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

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

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

Prime Factorization of 657 is 3 x 3 x 73

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(561, 828) = 154836

GCD(561, 828) = ( 561 x 828 ) / 154836

GCD(561, 828) = 464508 / 154836

GCD(561, 828) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 486

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

LCM(3, 486) = 486

GCD(3, 486) = ( 3 x 486 ) / 486

GCD(3, 486) = 1458 / 486

GCD(3, 486) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 657

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

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

GCD(3, 657) = 1971 / 657

GCD(3, 657) = 3

GCD of 561, 828, 486, 657 is 3

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1. What is the GCD of 561, 828, 486, 657?

GCD of 561, 828, 486, 657 is 3

2. Where do I get the detailed procedure to find GCD of 561, 828, 486, 657?

You can find a detailed procedure to find GCD of 561, 828, 486, 657 on our page.

3. How to find GCD of 561, 828, 486, 657 on a calculator?

You can find the GCD of 561, 828, 486, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.