GCD of 509, 312, 65, 598 Calculator

Given Input numbers are 509, 312, 65, 598

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

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 65

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

1, 5, 13, 65

Divisors of 598

List of positive integer divisors of 598 that divides 598 without a remainder.

1, 2, 13, 23, 26, 46, 299, 598

Greatest Common Divisior

We found the divisors of 509, 312, 65, 598 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 509, 312, 65, 598 is 1.

Therefore, GCD of numbers 509, 312, 65, 598 is 1

Given Input Data is 509, 312, 65, 598

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

Prime Factorization of 509 is 509

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 65 is 5 x 13

Prime Factorization of 598 is 2 x 13 x 23

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(509, 312) = 158808

GCD(509, 312) = ( 509 x 312 ) / 158808

GCD(509, 312) = 158808 / 158808

GCD(509, 312) = 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 598

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

LCM(1, 598) = 598

GCD(1, 598) = ( 1 x 598 ) / 598

GCD(1, 598) = 598 / 598

GCD(1, 598) = 1

GCD of 509, 312, 65, 598 is 1

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1. What is the GCD of 509, 312, 65, 598?

GCD of 509, 312, 65, 598 is 1

2. Where do I get the detailed procedure to find GCD of 509, 312, 65, 598?

You can find a detailed procedure to find GCD of 509, 312, 65, 598 on our page.

3. How to find GCD of 509, 312, 65, 598 on a calculator?

You can find the GCD of 509, 312, 65, 598 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.