GCD of 872, 860, 51, 583 Calculator

Given Input numbers are 872, 860, 51, 583

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 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 583

List of positive integer divisors of 583 that divides 583 without a remainder.

1, 11, 53, 583

Greatest Common Divisior

We found the divisors of 872, 860, 51, 583 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 872, 860, 51, 583 is 1.

Therefore, GCD of numbers 872, 860, 51, 583 is 1

Given Input Data is 872, 860, 51, 583

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 860 is 2 x 2 x 5 x 43

Prime Factorization of 51 is 3 x 17

Prime Factorization of 583 is 11 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(872, 860) = 187480

GCD(872, 860) = ( 872 x 860 ) / 187480

GCD(872, 860) = 749920 / 187480

GCD(872, 860) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 51

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

LCM(4, 51) = 204

GCD(4, 51) = ( 4 x 51 ) / 204

GCD(4, 51) = 204 / 204

GCD(4, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 583

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

LCM(1, 583) = 583

GCD(1, 583) = ( 1 x 583 ) / 583

GCD(1, 583) = 583 / 583

GCD(1, 583) = 1

GCD of 872, 860, 51, 583 is 1

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1. What is the GCD of 872, 860, 51, 583?

GCD of 872, 860, 51, 583 is 1

2. Where do I get the detailed procedure to find GCD of 872, 860, 51, 583?

You can find a detailed procedure to find GCD of 872, 860, 51, 583 on our page.

3. How to find GCD of 872, 860, 51, 583 on a calculator?

You can find the GCD of 872, 860, 51, 583 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.