GCD of 47, 452, 728, 820 Calculator

Given Input numbers are 47, 452, 728, 820

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

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

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

Greatest Common Divisior

We found the divisors of 47, 452, 728, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 47, 452, 728, 820 is 1.

Therefore, GCD of numbers 47, 452, 728, 820 is 1

Given Input Data is 47, 452, 728, 820

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

Prime Factorization of 47 is 47

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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

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(47, 452) = 21244

GCD(47, 452) = ( 47 x 452 ) / 21244

GCD(47, 452) = 21244 / 21244

GCD(47, 452) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 820

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

LCM(1, 820) = 820

GCD(1, 820) = ( 1 x 820 ) / 820

GCD(1, 820) = 820 / 820

GCD(1, 820) = 1

GCD of 47, 452, 728, 820 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 55, 823, 503, 714
• GCD of 45, 877, 213, 916
• GCD of 54, 129, 497, 761
• GCD of 40, 624, 431, 413
• GCD of 52, 534, 386, 452

1. What is the GCD of 47, 452, 728, 820?

GCD of 47, 452, 728, 820 is 1

2. Where do I get the detailed procedure to find GCD of 47, 452, 728, 820?

You can find a detailed procedure to find GCD of 47, 452, 728, 820 on our page.

3. How to find GCD of 47, 452, 728, 820 on a calculator?

You can find the GCD of 47, 452, 728, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.