GCD of 859, 367, 800, 689 Calculator

Given Input numbers are 859, 367, 800, 689

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

Divisors of 859

List of positive integer divisors of 859 that divides 859 without a remainder.

1, 859

Divisors of 367

List of positive integer divisors of 367 that divides 367 without a remainder.

1, 367

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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 859, 367, 800, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 367, 800, 689 is 1.

Therefore, GCD of numbers 859, 367, 800, 689 is 1

Given Input Data is 859, 367, 800, 689

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

Prime Factorization of 859 is 859

Prime Factorization of 367 is 367

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

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(859, 367) = 315253

GCD(859, 367) = ( 859 x 367 ) / 315253

GCD(859, 367) = 315253 / 315253

GCD(859, 367) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 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 859, 367, 800, 689 is 1

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1. What is the GCD of 859, 367, 800, 689?

GCD of 859, 367, 800, 689 is 1

2. Where do I get the detailed procedure to find GCD of 859, 367, 800, 689?

You can find a detailed procedure to find GCD of 859, 367, 800, 689 on our page.

3. How to find GCD of 859, 367, 800, 689 on a calculator?

You can find the GCD of 859, 367, 800, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.