GCD of 822, 928, 22, 492 Calculator

Given Input numbers are 822, 928, 22, 492

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

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

Divisors of 22

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

1, 2, 11, 22

Divisors of 492

List of positive integer divisors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Greatest Common Divisior

We found the divisors of 822, 928, 22, 492 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 822, 928, 22, 492 is 2.

Therefore, GCD of numbers 822, 928, 22, 492 is 2

Given Input Data is 822, 928, 22, 492

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

Prime Factorization of 822 is 2 x 3 x 137

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

Prime Factorization of 22 is 2 x 11

Prime Factorization of 492 is 2 x 2 x 3 x 41

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(822, 928) = 381408

GCD(822, 928) = ( 822 x 928 ) / 381408

GCD(822, 928) = 762816 / 381408

GCD(822, 928) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 22

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

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

GCD(2, 22) = 44 / 22

GCD(2, 22) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 492

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

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

GCD(2, 492) = 984 / 492

GCD(2, 492) = 2

GCD of 822, 928, 22, 492 is 2

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• GCD of 458, 287, 23, 516
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1. What is the GCD of 822, 928, 22, 492?

GCD of 822, 928, 22, 492 is 2

2. Where do I get the detailed procedure to find GCD of 822, 928, 22, 492?

You can find a detailed procedure to find GCD of 822, 928, 22, 492 on our page.

3. How to find GCD of 822, 928, 22, 492 on a calculator?

You can find the GCD of 822, 928, 22, 492 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.