GCD of 852, 880, 859 Calculator

Given Input numbers are 852, 880, 859

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

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

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 852, 880, 859 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 852, 880, 859 is 1.

Therefore, GCD of numbers 852, 880, 859 is 1

Given Input Data is 852, 880, 859

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

Prime Factorization of 852 is 2 x 2 x 3 x 71

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

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(852, 880) = 187440

GCD(852, 880) = ( 852 x 880 ) / 187440

GCD(852, 880) = 749760 / 187440

GCD(852, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 859

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

LCM(4, 859) = 3436

GCD(4, 859) = ( 4 x 859 ) / 3436

GCD(4, 859) = 3436 / 3436

GCD(4, 859) = 1

GCD of 852, 880, 859 is 1

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1. What is the GCD of 852, 880, 859?

GCD of 852, 880, 859 is 1

2. Where do I get the detailed procedure to find GCD of 852, 880, 859?

You can find a detailed procedure to find GCD of 852, 880, 859 on our page.

3. How to find GCD of 852, 880, 859 on a calculator?

You can find the GCD of 852, 880, 859 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.