GCD of 820, 203, 106, 472 Calculator

Given Input numbers are 820, 203, 106, 472

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

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 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 820, 203, 106, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 203, 106, 472 is 1.

Therefore, GCD of numbers 820, 203, 106, 472 is 1

Given Input Data is 820, 203, 106, 472

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

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 106 is 2 x 53

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(820, 203) = 166460

GCD(820, 203) = ( 820 x 203 ) / 166460

GCD(820, 203) = 166460 / 166460

GCD(820, 203) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 106

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

LCM(1, 106) = 106

GCD(1, 106) = ( 1 x 106 ) / 106

GCD(1, 106) = 106 / 106

GCD(1, 106) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 820, 203, 106, 472 is 1

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1. What is the GCD of 820, 203, 106, 472?

GCD of 820, 203, 106, 472 is 1

2. Where do I get the detailed procedure to find GCD of 820, 203, 106, 472?

You can find a detailed procedure to find GCD of 820, 203, 106, 472 on our page.

3. How to find GCD of 820, 203, 106, 472 on a calculator?

You can find the GCD of 820, 203, 106, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.