GCD of 693, 312, 859 Calculator

Given Input numbers are 693, 312, 859

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

Divisors of 693

List of positive integer divisors of 693 that divides 693 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 859

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

1, 859

Greatest Common Divisior

We found the divisors of 693, 312, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 693, 312, 859 is 1.

Therefore, GCD of numbers 693, 312, 859 is 1

Given Input Data is 693, 312, 859

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

Prime Factorization of 693 is 3 x 3 x 7 x 11

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 859 is 859

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(693, 312) = 72072

GCD(693, 312) = ( 693 x 312 ) / 72072

GCD(693, 312) = 216216 / 72072

GCD(693, 312) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 859

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

LCM(3, 859) = 2577

GCD(3, 859) = ( 3 x 859 ) / 2577

GCD(3, 859) = 2577 / 2577

GCD(3, 859) = 1

GCD of 693, 312, 859 is 1

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1. What is the GCD of 693, 312, 859?

GCD of 693, 312, 859 is 1

2. Where do I get the detailed procedure to find GCD of 693, 312, 859?

You can find a detailed procedure to find GCD of 693, 312, 859 on our page.

3. How to find GCD of 693, 312, 859 on a calculator?

You can find the GCD of 693, 312, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.