GCD of 870, 403, 591, 842 Calculator

Given Input numbers are 870, 403, 591, 842

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

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 403

List of positive integer divisors of 403 that divides 403 without a remainder.

1, 13, 31, 403

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 870, 403, 591, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 870, 403, 591, 842 is 1.

Therefore, GCD of numbers 870, 403, 591, 842 is 1

Given Input Data is 870, 403, 591, 842

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

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 403 is 13 x 31

Prime Factorization of 591 is 3 x 197

Prime Factorization of 842 is 2 x 421

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(870, 403) = 350610

GCD(870, 403) = ( 870 x 403 ) / 350610

GCD(870, 403) = 350610 / 350610

GCD(870, 403) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 870, 403, 591, 842 is 1

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1. What is the GCD of 870, 403, 591, 842?

GCD of 870, 403, 591, 842 is 1

2. Where do I get the detailed procedure to find GCD of 870, 403, 591, 842?

You can find a detailed procedure to find GCD of 870, 403, 591, 842 on our page.

3. How to find GCD of 870, 403, 591, 842 on a calculator?

You can find the GCD of 870, 403, 591, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.