GCD of 936, 420, 24, 366 Calculator

Given Input numbers are 936, 420, 24, 366

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

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Greatest Common Divisior

We found the divisors of 936, 420, 24, 366 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 936, 420, 24, 366 is 6.

Therefore, GCD of numbers 936, 420, 24, 366 is 6

Given Input Data is 936, 420, 24, 366

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

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 366 is 2 x 3 x 61

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(936, 420) = 32760

GCD(936, 420) = ( 936 x 420 ) / 32760

GCD(936, 420) = 393120 / 32760

GCD(936, 420) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 24

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

LCM(12, 24) = 24

GCD(12, 24) = ( 12 x 24 ) / 24

GCD(12, 24) = 288 / 24

GCD(12, 24) = 12

Step3:

Here we consider the GCD from the above i.e. 12 as first number and the next as 366

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

LCM(12, 366) = 732

GCD(12, 366) = ( 12 x 366 ) / 732

GCD(12, 366) = 4392 / 732

GCD(12, 366) = 6

GCD of 936, 420, 24, 366 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 300, 245, 47, 899
• GCD of 126, 531, 46, 369
• GCD of 316, 137, 46, 803
• GCD of 799, 903, 80, 923
• GCD of 139, 410, 91, 965

1. What is the GCD of 936, 420, 24, 366?

GCD of 936, 420, 24, 366 is 6

2. Where do I get the detailed procedure to find GCD of 936, 420, 24, 366?

You can find a detailed procedure to find GCD of 936, 420, 24, 366 on our page.

3. How to find GCD of 936, 420, 24, 366 on a calculator?

You can find the GCD of 936, 420, 24, 366 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.