GCD of 258, 561, 150 Calculator

Given Input numbers are 258, 561, 150

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

Divisors of 258

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

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

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 258, 561, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 561, 150 is 3.

Therefore, GCD of numbers 258, 561, 150 is 3

Given Input Data is 258, 561, 150

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(258, 561) = 48246

GCD(258, 561) = ( 258 x 561 ) / 48246

GCD(258, 561) = 144738 / 48246

GCD(258, 561) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 150

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

LCM(3, 150) = 150

GCD(3, 150) = ( 3 x 150 ) / 150

GCD(3, 150) = 450 / 150

GCD(3, 150) = 3

GCD of 258, 561, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 139, 976, 412
• GCD of 479, 882, 468
• GCD of 330, 843, 918
• GCD of 397, 870, 112
• GCD of 765, 693, 397

1. What is the GCD of 258, 561, 150?

GCD of 258, 561, 150 is 3

2. Where do I get the detailed procedure to find GCD of 258, 561, 150?

You can find a detailed procedure to find GCD of 258, 561, 150 on our page.

3. How to find GCD of 258, 561, 150 on a calculator?

You can find the GCD of 258, 561, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.