GCD of 510, 597, 361, 116 Calculator

Given Input numbers are 510, 597, 361, 116

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 510, 597, 361, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 597, 361, 116 is 1.

Therefore, GCD of numbers 510, 597, 361, 116 is 1

Given Input Data is 510, 597, 361, 116

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 597 is 3 x 199

Prime Factorization of 361 is 19 x 19

Prime Factorization of 116 is 2 x 2 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(510, 597) = 101490

GCD(510, 597) = ( 510 x 597 ) / 101490

GCD(510, 597) = 304470 / 101490

GCD(510, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 361

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

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

GCD(3, 361) = 1083 / 1083

GCD(3, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 510, 597, 361, 116 is 1

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1. What is the GCD of 510, 597, 361, 116?

GCD of 510, 597, 361, 116 is 1

2. Where do I get the detailed procedure to find GCD of 510, 597, 361, 116?

You can find a detailed procedure to find GCD of 510, 597, 361, 116 on our page.

3. How to find GCD of 510, 597, 361, 116 on a calculator?

You can find the GCD of 510, 597, 361, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.