GCD of 36, 622, 146, 928 Calculator

Given Input numbers are 36, 622, 146, 928

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 622

List of positive integer divisors of 622 that divides 622 without a remainder.

1, 2, 311, 622

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 36, 622, 146, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 622, 146, 928 is 2.

Therefore, GCD of numbers 36, 622, 146, 928 is 2

Given Input Data is 36, 622, 146, 928

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 622 is 2 x 311

Prime Factorization of 146 is 2 x 73

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(36, 622) = 11196

GCD(36, 622) = ( 36 x 622 ) / 11196

GCD(36, 622) = 22392 / 11196

GCD(36, 622) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 928

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

LCM(2, 928) = 928

GCD(2, 928) = ( 2 x 928 ) / 928

GCD(2, 928) = 1856 / 928

GCD(2, 928) = 2

GCD of 36, 622, 146, 928 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 62, 943, 794, 820
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• GCD of 60, 387, 993, 177
• GCD of 43, 161, 573, 194
• GCD of 86, 715, 878, 211

1. What is the GCD of 36, 622, 146, 928?

GCD of 36, 622, 146, 928 is 2

2. Where do I get the detailed procedure to find GCD of 36, 622, 146, 928?

You can find a detailed procedure to find GCD of 36, 622, 146, 928 on our page.

3. How to find GCD of 36, 622, 146, 928 on a calculator?

You can find the GCD of 36, 622, 146, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.