GCD of 213, 270, 964, 565 Calculator

Given Input numbers are 213, 270, 964, 565

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 270

List of positive integer divisors of 270 that divides 270 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 964

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

1, 2, 4, 241, 482, 964

Divisors of 565

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

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 213, 270, 964, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 270, 964, 565 is 1.

Therefore, GCD of numbers 213, 270, 964, 565 is 1

Given Input Data is 213, 270, 964, 565

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 270 is 2 x 3 x 3 x 3 x 5

Prime Factorization of 964 is 2 x 2 x 241

Prime Factorization of 565 is 5 x 113

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, 270) = 19170

GCD(213, 270) = ( 213 x 270 ) / 19170

GCD(213, 270) = 57510 / 19170

GCD(213, 270) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 964

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

LCM(3, 964) = 2892

GCD(3, 964) = ( 3 x 964 ) / 2892

GCD(3, 964) = 2892 / 2892

GCD(3, 964) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 213, 270, 964, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 618, 387, 531
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• GCD of 149, 760, 109, 915

1. What is the GCD of 213, 270, 964, 565?

GCD of 213, 270, 964, 565 is 1

2. Where do I get the detailed procedure to find GCD of 213, 270, 964, 565?

You can find a detailed procedure to find GCD of 213, 270, 964, 565 on our page.

3. How to find GCD of 213, 270, 964, 565 on a calculator?

You can find the GCD of 213, 270, 964, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.