GCD of 22, 936, 438, 418 Calculator

Given Input numbers are 22, 936, 438, 418

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

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

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 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 418

List of positive integer divisors of 418 that divides 418 without a remainder.

1, 2, 11, 19, 22, 38, 209, 418

Greatest Common Divisior

We found the divisors of 22, 936, 438, 418 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 22, 936, 438, 418 is 2.

Therefore, GCD of numbers 22, 936, 438, 418 is 2

Given Input Data is 22, 936, 438, 418

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

Prime Factorization of 22 is 2 x 11

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 418 is 2 x 11 x 19

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(22, 936) = 10296

GCD(22, 936) = ( 22 x 936 ) / 10296

GCD(22, 936) = 20592 / 10296

GCD(22, 936) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 438

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

LCM(2, 438) = 438

GCD(2, 438) = ( 2 x 438 ) / 438

GCD(2, 438) = 876 / 438

GCD(2, 438) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 418

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

LCM(2, 418) = 418

GCD(2, 418) = ( 2 x 418 ) / 418

GCD(2, 418) = 836 / 418

GCD(2, 418) = 2

GCD of 22, 936, 438, 418 is 2

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• GCD of 38, 189, 945, 669
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• GCD of 42, 454, 803, 366

1. What is the GCD of 22, 936, 438, 418?

GCD of 22, 936, 438, 418 is 2

2. Where do I get the detailed procedure to find GCD of 22, 936, 438, 418?

You can find a detailed procedure to find GCD of 22, 936, 438, 418 on our page.

3. How to find GCD of 22, 936, 438, 418 on a calculator?

You can find the GCD of 22, 936, 438, 418 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.