GCD of 150, 394, 565, 225 Calculator

Given Input numbers are 150, 394, 565, 225

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

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 150, 394, 565, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 394, 565, 225 is 1.

Therefore, GCD of numbers 150, 394, 565, 225 is 1

Given Input Data is 150, 394, 565, 225

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

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 565 is 5 x 113

Prime Factorization of 225 is 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

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(150, 394) = 29550

GCD(150, 394) = ( 150 x 394 ) / 29550

GCD(150, 394) = 59100 / 29550

GCD(150, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 565

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

LCM(2, 565) = 1130

GCD(2, 565) = ( 2 x 565 ) / 1130

GCD(2, 565) = 1130 / 1130

GCD(2, 565) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 225

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

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

GCD(1, 225) = 225 / 225

GCD(1, 225) = 1

GCD of 150, 394, 565, 225 is 1

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1. What is the GCD of 150, 394, 565, 225?

GCD of 150, 394, 565, 225 is 1

2. Where do I get the detailed procedure to find GCD of 150, 394, 565, 225?

You can find a detailed procedure to find GCD of 150, 394, 565, 225 on our page.

3. How to find GCD of 150, 394, 565, 225 on a calculator?

You can find the GCD of 150, 394, 565, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.