GCD of 894, 702, 859 Calculator

Given Input numbers are 894, 702, 859

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

Divisors of 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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 894, 702, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 702, 859 is 1.

Therefore, GCD of numbers 894, 702, 859 is 1

Given Input Data is 894, 702, 859

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 702 is 2 x 3 x 3 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(894, 702) = 104598

GCD(894, 702) = ( 894 x 702 ) / 104598

GCD(894, 702) = 627588 / 104598

GCD(894, 702) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 859

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

LCM(6, 859) = 5154

GCD(6, 859) = ( 6 x 859 ) / 5154

GCD(6, 859) = 5154 / 5154

GCD(6, 859) = 1

GCD of 894, 702, 859 is 1

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1. What is the GCD of 894, 702, 859?

GCD of 894, 702, 859 is 1

2. Where do I get the detailed procedure to find GCD of 894, 702, 859?

You can find a detailed procedure to find GCD of 894, 702, 859 on our page.

3. How to find GCD of 894, 702, 859 on a calculator?

You can find the GCD of 894, 702, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.