GCD of 905, 150, 217 Calculator

Given Input numbers are 905, 150, 217

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

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

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 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Greatest Common Divisior

We found the divisors of 905, 150, 217 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 905, 150, 217 is 1.

Therefore, GCD of numbers 905, 150, 217 is 1

Given Input Data is 905, 150, 217

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

Prime Factorization of 905 is 5 x 181

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

Prime Factorization of 217 is 7 x 31

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(905, 150) = 27150

GCD(905, 150) = ( 905 x 150 ) / 27150

GCD(905, 150) = 135750 / 27150

GCD(905, 150) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 217

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

LCM(5, 217) = 1085

GCD(5, 217) = ( 5 x 217 ) / 1085

GCD(5, 217) = 1085 / 1085

GCD(5, 217) = 1

GCD of 905, 150, 217 is 1

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1. What is the GCD of 905, 150, 217?

GCD of 905, 150, 217 is 1

2. Where do I get the detailed procedure to find GCD of 905, 150, 217?

You can find a detailed procedure to find GCD of 905, 150, 217 on our page.

3. How to find GCD of 905, 150, 217 on a calculator?

You can find the GCD of 905, 150, 217 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.