GCD of 598, 340, 65, 819 Calculator

Given Input numbers are 598, 340, 65, 819

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

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 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 65

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

1, 5, 13, 65

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 598, 340, 65, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 340, 65, 819 is 1.

Therefore, GCD of numbers 598, 340, 65, 819 is 1

Given Input Data is 598, 340, 65, 819

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

Prime Factorization of 598 is 2 x 13 x 23

Prime Factorization of 340 is 2 x 2 x 5 x 17

Prime Factorization of 65 is 5 x 13

Prime Factorization of 819 is 3 x 3 x 7 x 13

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(598, 340) = 101660

GCD(598, 340) = ( 598 x 340 ) / 101660

GCD(598, 340) = 203320 / 101660

GCD(598, 340) = 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 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 598, 340, 65, 819 is 1

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1. What is the GCD of 598, 340, 65, 819?

GCD of 598, 340, 65, 819 is 1

2. Where do I get the detailed procedure to find GCD of 598, 340, 65, 819?

You can find a detailed procedure to find GCD of 598, 340, 65, 819 on our page.

3. How to find GCD of 598, 340, 65, 819 on a calculator?

You can find the GCD of 598, 340, 65, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.