GCD of 213, 225, 17, 964 Calculator

Given Input numbers are 213, 225, 17, 964

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 964

List of positive integer divisors of 964 that divides 964 without a remainder.

1, 2, 4, 241, 482, 964

Greatest Common Divisior

We found the divisors of 213, 225, 17, 964 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 225, 17, 964 is 1.

Therefore, GCD of numbers 213, 225, 17, 964 is 1

Given Input Data is 213, 225, 17, 964

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

Prime Factorization of 213 is 3 x 71

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

Prime Factorization of 17 is 17

Prime Factorization of 964 is 2 x 2 x 241

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(213, 225) = 15975

GCD(213, 225) = ( 213 x 225 ) / 15975

GCD(213, 225) = 47925 / 15975

GCD(213, 225) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 964

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

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

GCD(1, 964) = 964 / 964

GCD(1, 964) = 1

GCD of 213, 225, 17, 964 is 1

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1. What is the GCD of 213, 225, 17, 964?

GCD of 213, 225, 17, 964 is 1

2. Where do I get the detailed procedure to find GCD of 213, 225, 17, 964?

You can find a detailed procedure to find GCD of 213, 225, 17, 964 on our page.

3. How to find GCD of 213, 225, 17, 964 on a calculator?

You can find the GCD of 213, 225, 17, 964 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.