GCD of 219, 387, 150 Calculator

Given Input numbers are 219, 387, 150

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 219, 387, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 387, 150 is 3.

Therefore, GCD of numbers 219, 387, 150 is 3

Given Input Data is 219, 387, 150

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 387 is 3 x 3 x 43

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(219, 387) = 28251

GCD(219, 387) = ( 219 x 387 ) / 28251

GCD(219, 387) = 84753 / 28251

GCD(219, 387) = 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 219, 387, 150 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 453, 274
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• GCD of 985, 146, 652
• GCD of 130, 622, 804

1. What is the GCD of 219, 387, 150?

GCD of 219, 387, 150 is 3

2. Where do I get the detailed procedure to find GCD of 219, 387, 150?

You can find a detailed procedure to find GCD of 219, 387, 150 on our page.

3. How to find GCD of 219, 387, 150 on a calculator?

You can find the GCD of 219, 387, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.