GCD of 617, 195, 836, 689 Calculator

Given Input numbers are 617, 195, 836, 689

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 617, 195, 836, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 195, 836, 689 is 1.

Therefore, GCD of numbers 617, 195, 836, 689 is 1

Given Input Data is 617, 195, 836, 689

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

Prime Factorization of 617 is 617

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 836 is 2 x 2 x 11 x 19

Prime Factorization of 689 is 13 x 53

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(617, 195) = 120315

GCD(617, 195) = ( 617 x 195 ) / 120315

GCD(617, 195) = 120315 / 120315

GCD(617, 195) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 836

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

LCM(1, 836) = 836

GCD(1, 836) = ( 1 x 836 ) / 836

GCD(1, 836) = 836 / 836

GCD(1, 836) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 617, 195, 836, 689 is 1

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1. What is the GCD of 617, 195, 836, 689?

GCD of 617, 195, 836, 689 is 1

2. Where do I get the detailed procedure to find GCD of 617, 195, 836, 689?

You can find a detailed procedure to find GCD of 617, 195, 836, 689 on our page.

3. How to find GCD of 617, 195, 836, 689 on a calculator?

You can find the GCD of 617, 195, 836, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.