GCD of 506, 870, 31, 604 Calculator

Given Input numbers are 506, 870, 31, 604

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

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

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 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 506, 870, 31, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 506, 870, 31, 604 is 1.

Therefore, GCD of numbers 506, 870, 31, 604 is 1

Given Input Data is 506, 870, 31, 604

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

Prime Factorization of 506 is 2 x 11 x 23

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

Prime Factorization of 31 is 31

Prime Factorization of 604 is 2 x 2 x 151

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(506, 870) = 220110

GCD(506, 870) = ( 506 x 870 ) / 220110

GCD(506, 870) = 440220 / 220110

GCD(506, 870) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 506, 870, 31, 604 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 671, 511, 61, 793
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• GCD of 275, 872, 15, 707
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• GCD of 781, 981, 53, 717

1. What is the GCD of 506, 870, 31, 604?

GCD of 506, 870, 31, 604 is 1

2. Where do I get the detailed procedure to find GCD of 506, 870, 31, 604?

You can find a detailed procedure to find GCD of 506, 870, 31, 604 on our page.

3. How to find GCD of 506, 870, 31, 604 on a calculator?

You can find the GCD of 506, 870, 31, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.