GCD of 460, 820, 181, 856 Calculator

Given Input numbers are 460, 820, 181, 856

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

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Divisors of 856

List of positive integer divisors of 856 that divides 856 without a remainder.

1, 2, 4, 8, 107, 214, 428, 856

Greatest Common Divisior

We found the divisors of 460, 820, 181, 856 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 820, 181, 856 is 1.

Therefore, GCD of numbers 460, 820, 181, 856 is 1

Given Input Data is 460, 820, 181, 856

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

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 181 is 181

Prime Factorization of 856 is 2 x 2 x 2 x 107

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(460, 820) = 18860

GCD(460, 820) = ( 460 x 820 ) / 18860

GCD(460, 820) = 377200 / 18860

GCD(460, 820) = 20

Step2:

Here we consider the GCD from the above i.e. 20 as first number and the next as 181

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

LCM(20, 181) = 3620

GCD(20, 181) = ( 20 x 181 ) / 3620

GCD(20, 181) = 3620 / 3620

GCD(20, 181) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 856

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

LCM(1, 856) = 856

GCD(1, 856) = ( 1 x 856 ) / 856

GCD(1, 856) = 856 / 856

GCD(1, 856) = 1

GCD of 460, 820, 181, 856 is 1

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1. What is the GCD of 460, 820, 181, 856?

GCD of 460, 820, 181, 856 is 1

2. Where do I get the detailed procedure to find GCD of 460, 820, 181, 856?

You can find a detailed procedure to find GCD of 460, 820, 181, 856 on our page.

3. How to find GCD of 460, 820, 181, 856 on a calculator?

You can find the GCD of 460, 820, 181, 856 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.