GCD of 220, 162, 992 Calculator

Given Input numbers are 220, 162, 992

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

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 220, 162, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 162, 992 is 2.

Therefore, GCD of numbers 220, 162, 992 is 2

Given Input Data is 220, 162, 992

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

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(220, 162) = 17820

GCD(220, 162) = ( 220 x 162 ) / 17820

GCD(220, 162) = 35640 / 17820

GCD(220, 162) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 992

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

LCM(2, 992) = 992

GCD(2, 992) = ( 2 x 992 ) / 992

GCD(2, 992) = 1984 / 992

GCD(2, 992) = 2

GCD of 220, 162, 992 is 2

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1. What is the GCD of 220, 162, 992?

GCD of 220, 162, 992 is 2

2. Where do I get the detailed procedure to find GCD of 220, 162, 992?

You can find a detailed procedure to find GCD of 220, 162, 992 on our page.

3. How to find GCD of 220, 162, 992 on a calculator?

You can find the GCD of 220, 162, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.