GCD of 589, 792, 65, 953 Calculator

Given Input numbers are 589, 792, 65, 953

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

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 65

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

1, 5, 13, 65

Divisors of 953

List of positive integer divisors of 953 that divides 953 without a remainder.

1, 953

Greatest Common Divisior

We found the divisors of 589, 792, 65, 953 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 589, 792, 65, 953 is 1.

Therefore, GCD of numbers 589, 792, 65, 953 is 1

Given Input Data is 589, 792, 65, 953

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

Prime Factorization of 589 is 19 x 31

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 65 is 5 x 13

Prime Factorization of 953 is 953

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(589, 792) = 466488

GCD(589, 792) = ( 589 x 792 ) / 466488

GCD(589, 792) = 466488 / 466488

GCD(589, 792) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 953

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

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

GCD(1, 953) = 953 / 953

GCD(1, 953) = 1

GCD of 589, 792, 65, 953 is 1

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1. What is the GCD of 589, 792, 65, 953?

GCD of 589, 792, 65, 953 is 1

2. Where do I get the detailed procedure to find GCD of 589, 792, 65, 953?

You can find a detailed procedure to find GCD of 589, 792, 65, 953 on our page.

3. How to find GCD of 589, 792, 65, 953 on a calculator?

You can find the GCD of 589, 792, 65, 953 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.