GCD of 65, 598, 113, 855 Calculator

Given Input numbers are 65, 598, 113, 855

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

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 65, 598, 113, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 598, 113, 855 is 1.

Therefore, GCD of numbers 65, 598, 113, 855 is 1

Given Input Data is 65, 598, 113, 855

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

Prime Factorization of 65 is 5 x 13

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 113 is 113

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(65, 598) = 2990

GCD(65, 598) = ( 65 x 598 ) / 2990

GCD(65, 598) = 38870 / 2990

GCD(65, 598) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 113

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

LCM(13, 113) = 1469

GCD(13, 113) = ( 13 x 113 ) / 1469

GCD(13, 113) = 1469 / 1469

GCD(13, 113) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 65, 598, 113, 855 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 45, 492, 901, 885
• GCD of 24, 495, 224, 265
• GCD of 33, 986, 438, 357
• GCD of 19, 419, 240, 933
• GCD of 32, 226, 643, 389

1. What is the GCD of 65, 598, 113, 855?

GCD of 65, 598, 113, 855 is 1

2. Where do I get the detailed procedure to find GCD of 65, 598, 113, 855?

You can find a detailed procedure to find GCD of 65, 598, 113, 855 on our page.

3. How to find GCD of 65, 598, 113, 855 on a calculator?

You can find the GCD of 65, 598, 113, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.