GCD of 162, 303, 99, 567 Calculator

Given Input numbers are 162, 303, 99, 567

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

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 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 162, 303, 99, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 303, 99, 567 is 3.

Therefore, GCD of numbers 162, 303, 99, 567 is 3

Given Input Data is 162, 303, 99, 567

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

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

Prime Factorization of 303 is 3 x 101

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(162, 303) = 16362

GCD(162, 303) = ( 162 x 303 ) / 16362

GCD(162, 303) = 49086 / 16362

GCD(162, 303) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 99

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

LCM(3, 99) = 99

GCD(3, 99) = ( 3 x 99 ) / 99

GCD(3, 99) = 297 / 99

GCD(3, 99) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 567

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

LCM(3, 567) = 567

GCD(3, 567) = ( 3 x 567 ) / 567

GCD(3, 567) = 1701 / 567

GCD(3, 567) = 3

GCD of 162, 303, 99, 567 is 3

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• GCD of 416, 494, 43, 809
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1. What is the GCD of 162, 303, 99, 567?

GCD of 162, 303, 99, 567 is 3

2. Where do I get the detailed procedure to find GCD of 162, 303, 99, 567?

You can find a detailed procedure to find GCD of 162, 303, 99, 567 on our page.

3. How to find GCD of 162, 303, 99, 567 on a calculator?

You can find the GCD of 162, 303, 99, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.