GCD of 835, 585, 30, 460 Calculator

Given Input numbers are 835, 585, 30, 460

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

Divisors of 835

List of positive integer divisors of 835 that divides 835 without a remainder.

1, 5, 167, 835

Divisors of 585

List of positive integer divisors of 585 that divides 585 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Greatest Common Divisior

We found the divisors of 835, 585, 30, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 585, 30, 460 is 5.

Therefore, GCD of numbers 835, 585, 30, 460 is 5

Given Input Data is 835, 585, 30, 460

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

Prime Factorization of 835 is 5 x 167

Prime Factorization of 585 is 3 x 3 x 5 x 13

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 460 is 2 x 2 x 5 x 23

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

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(835, 585) = 97695

GCD(835, 585) = ( 835 x 585 ) / 97695

GCD(835, 585) = 488475 / 97695

GCD(835, 585) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 30

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

LCM(5, 30) = 30

GCD(5, 30) = ( 5 x 30 ) / 30

GCD(5, 30) = 150 / 30

GCD(5, 30) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 460

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

LCM(5, 460) = 460

GCD(5, 460) = ( 5 x 460 ) / 460

GCD(5, 460) = 2300 / 460

GCD(5, 460) = 5

GCD of 835, 585, 30, 460 is 5

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1. What is the GCD of 835, 585, 30, 460?

GCD of 835, 585, 30, 460 is 5

2. Where do I get the detailed procedure to find GCD of 835, 585, 30, 460?

You can find a detailed procedure to find GCD of 835, 585, 30, 460 on our page.

3. How to find GCD of 835, 585, 30, 460 on a calculator?

You can find the GCD of 835, 585, 30, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.