GCD of 821, 196, 104, 470 Calculator

Given Input numbers are 821, 196, 104, 470

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

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 104

List of positive integer divisors of 104 that divides 104 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 821, 196, 104, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 196, 104, 470 is 1.

Therefore, GCD of numbers 821, 196, 104, 470 is 1

Given Input Data is 821, 196, 104, 470

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

Prime Factorization of 821 is 821

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 104 is 2 x 2 x 2 x 13

Prime Factorization of 470 is 2 x 5 x 47

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(821, 196) = 160916

GCD(821, 196) = ( 821 x 196 ) / 160916

GCD(821, 196) = 160916 / 160916

GCD(821, 196) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 104

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

LCM(1, 104) = 104

GCD(1, 104) = ( 1 x 104 ) / 104

GCD(1, 104) = 104 / 104

GCD(1, 104) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 821, 196, 104, 470 is 1

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1. What is the GCD of 821, 196, 104, 470?

GCD of 821, 196, 104, 470 is 1

2. Where do I get the detailed procedure to find GCD of 821, 196, 104, 470?

You can find a detailed procedure to find GCD of 821, 196, 104, 470 on our page.

3. How to find GCD of 821, 196, 104, 470 on a calculator?

You can find the GCD of 821, 196, 104, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.