GCD of 473, 308, 21, 902 Calculator

Given Input numbers are 473, 308, 21, 902

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

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Greatest Common Divisior

We found the divisors of 473, 308, 21, 902 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 308, 21, 902 is 1.

Therefore, GCD of numbers 473, 308, 21, 902 is 1

Given Input Data is 473, 308, 21, 902

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 21 is 3 x 7

Prime Factorization of 902 is 2 x 11 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(473, 308) = 13244

GCD(473, 308) = ( 473 x 308 ) / 13244

GCD(473, 308) = 145684 / 13244

GCD(473, 308) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 21

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

LCM(11, 21) = 231

GCD(11, 21) = ( 11 x 21 ) / 231

GCD(11, 21) = 231 / 231

GCD(11, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 902

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

LCM(1, 902) = 902

GCD(1, 902) = ( 1 x 902 ) / 902

GCD(1, 902) = 902 / 902

GCD(1, 902) = 1

GCD of 473, 308, 21, 902 is 1

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1. What is the GCD of 473, 308, 21, 902?

GCD of 473, 308, 21, 902 is 1

2. Where do I get the detailed procedure to find GCD of 473, 308, 21, 902?

You can find a detailed procedure to find GCD of 473, 308, 21, 902 on our page.

3. How to find GCD of 473, 308, 21, 902 on a calculator?

You can find the GCD of 473, 308, 21, 902 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.