GCD of 564, 230, 65, 783 Calculator

Given Input numbers are 564, 230, 65, 783

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

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 230

List of positive integer divisors of 230 that divides 230 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Greatest Common Divisior

We found the divisors of 564, 230, 65, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 564, 230, 65, 783 is 1.

Therefore, GCD of numbers 564, 230, 65, 783 is 1

Given Input Data is 564, 230, 65, 783

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

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 230 is 2 x 5 x 23

Prime Factorization of 65 is 5 x 13

Prime Factorization of 783 is 3 x 3 x 3 x 29

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(564, 230) = 64860

GCD(564, 230) = ( 564 x 230 ) / 64860

GCD(564, 230) = 129720 / 64860

GCD(564, 230) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

GCD of 564, 230, 65, 783 is 1

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1. What is the GCD of 564, 230, 65, 783?

GCD of 564, 230, 65, 783 is 1

2. Where do I get the detailed procedure to find GCD of 564, 230, 65, 783?

You can find a detailed procedure to find GCD of 564, 230, 65, 783 on our page.

3. How to find GCD of 564, 230, 65, 783 on a calculator?

You can find the GCD of 564, 230, 65, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.