GCD of 872, 859, 66, 696 Calculator

Given Input numbers are 872, 859, 66, 696

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

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 859

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

1, 859

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 872, 859, 66, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 859, 66, 696 is 1.

Therefore, GCD of numbers 872, 859, 66, 696 is 1

Given Input Data is 872, 859, 66, 696

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

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 859 is 859

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 696 is 2 x 2 x 2 x 3 x 29

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(872, 859) = 749048

GCD(872, 859) = ( 872 x 859 ) / 749048

GCD(872, 859) = 749048 / 749048

GCD(872, 859) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 872, 859, 66, 696 is 1

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1. What is the GCD of 872, 859, 66, 696?

GCD of 872, 859, 66, 696 is 1

2. Where do I get the detailed procedure to find GCD of 872, 859, 66, 696?

You can find a detailed procedure to find GCD of 872, 859, 66, 696 on our page.

3. How to find GCD of 872, 859, 66, 696 on a calculator?

You can find the GCD of 872, 859, 66, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.