GCD of 922, 162, 22 Calculator

Given Input numbers are 922, 162, 22

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

Divisors of 922

List of positive integer divisors of 922 that divides 922 without a remainder.

1, 2, 461, 922

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 22

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

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 922, 162, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 162, 22 is 2.

Therefore, GCD of numbers 922, 162, 22 is 2

Given Input Data is 922, 162, 22

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

Prime Factorization of 922 is 2 x 461

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 22 is 2 x 11

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(922, 162) = 74682

GCD(922, 162) = ( 922 x 162 ) / 74682

GCD(922, 162) = 149364 / 74682

GCD(922, 162) = 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

GCD of 922, 162, 22 is 2

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1. What is the GCD of 922, 162, 22?

GCD of 922, 162, 22 is 2

2. Where do I get the detailed procedure to find GCD of 922, 162, 22?

You can find a detailed procedure to find GCD of 922, 162, 22 on our page.

3. How to find GCD of 922, 162, 22 on a calculator?

You can find the GCD of 922, 162, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.