GCD of 860, 872, 717, 502 Calculator

Given Input numbers are 860, 872, 717, 502

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

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 872

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

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

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 860, 872, 717, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 860, 872, 717, 502 is 1.

Therefore, GCD of numbers 860, 872, 717, 502 is 1

Given Input Data is 860, 872, 717, 502

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

Prime Factorization of 860 is 2 x 2 x 5 x 43

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

Prime Factorization of 717 is 3 x 239

Prime Factorization of 502 is 2 x 251

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(860, 872) = 187480

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

GCD(860, 872) = 749920 / 187480

GCD(860, 872) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 717

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

LCM(4, 717) = 2868

GCD(4, 717) = ( 4 x 717 ) / 2868

GCD(4, 717) = 2868 / 2868

GCD(4, 717) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 502

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

LCM(1, 502) = 502

GCD(1, 502) = ( 1 x 502 ) / 502

GCD(1, 502) = 502 / 502

GCD(1, 502) = 1

GCD of 860, 872, 717, 502 is 1

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1. What is the GCD of 860, 872, 717, 502?

GCD of 860, 872, 717, 502 is 1

2. Where do I get the detailed procedure to find GCD of 860, 872, 717, 502?

You can find a detailed procedure to find GCD of 860, 872, 717, 502 on our page.

3. How to find GCD of 860, 872, 717, 502 on a calculator?

You can find the GCD of 860, 872, 717, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.