GCD of 594, 345, 120, 162 Calculator

Given Input numbers are 594, 345, 120, 162

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

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

Greatest Common Divisior

We found the divisors of 594, 345, 120, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 594, 345, 120, 162 is 3.

Therefore, GCD of numbers 594, 345, 120, 162 is 3

Given Input Data is 594, 345, 120, 162

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

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 120 is 2 x 2 x 2 x 3 x 5

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

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(594, 345) = 68310

GCD(594, 345) = ( 594 x 345 ) / 68310

GCD(594, 345) = 204930 / 68310

GCD(594, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 120

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

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

GCD(3, 120) = 360 / 120

GCD(3, 120) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

GCD of 594, 345, 120, 162 is 3

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1. What is the GCD of 594, 345, 120, 162?

GCD of 594, 345, 120, 162 is 3

2. Where do I get the detailed procedure to find GCD of 594, 345, 120, 162?

You can find a detailed procedure to find GCD of 594, 345, 120, 162 on our page.

3. How to find GCD of 594, 345, 120, 162 on a calculator?

You can find the GCD of 594, 345, 120, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.