GCD of 561, 936, 417, 423 Calculator

Given Input numbers are 561, 936, 417, 423

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 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 561, 936, 417, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 561, 936, 417, 423 is 3.

Therefore, GCD of numbers 561, 936, 417, 423 is 3

Given Input Data is 561, 936, 417, 423

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 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 417 is 3 x 139

Prime Factorization of 423 is 3 x 3 x 47

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, 936) = 175032

GCD(561, 936) = ( 561 x 936 ) / 175032

GCD(561, 936) = 525096 / 175032

GCD(561, 936) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 417

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

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

GCD(3, 417) = 1251 / 417

GCD(3, 417) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 423

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

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

GCD(3, 423) = 1269 / 423

GCD(3, 423) = 3

GCD of 561, 936, 417, 423 is 3

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1. What is the GCD of 561, 936, 417, 423?

GCD of 561, 936, 417, 423 is 3

2. Where do I get the detailed procedure to find GCD of 561, 936, 417, 423?

You can find a detailed procedure to find GCD of 561, 936, 417, 423 on our page.

3. How to find GCD of 561, 936, 417, 423 on a calculator?

You can find the GCD of 561, 936, 417, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.