GCD of 162, 120, 258 Calculator

Given Input numbers are 162, 120, 258

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 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 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Greatest Common Divisior

We found the divisors of 162, 120, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 162, 120, 258 is 6.

Therefore, GCD of numbers 162, 120, 258 is 6

Given Input Data is 162, 120, 258

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 120 is 2 x 2 x 2 x 3 x 5

Prime Factorization of 258 is 2 x 3 x 43

Highest common occurrences in the given inputs are 2¹ x 3¹

Multiplying them we get the GCD as 6

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, 120) = 3240

GCD(162, 120) = ( 162 x 120 ) / 3240

GCD(162, 120) = 19440 / 3240

GCD(162, 120) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 258

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

LCM(6, 258) = 258

GCD(6, 258) = ( 6 x 258 ) / 258

GCD(6, 258) = 1548 / 258

GCD(6, 258) = 6

GCD of 162, 120, 258 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 620, 977
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1. What is the GCD of 162, 120, 258?

GCD of 162, 120, 258 is 6

2. Where do I get the detailed procedure to find GCD of 162, 120, 258?

You can find a detailed procedure to find GCD of 162, 120, 258 on our page.

3. How to find GCD of 162, 120, 258 on a calculator?

You can find the GCD of 162, 120, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.