GCD of 473, 215, 638, 766 Calculator

Given Input numbers are 473, 215, 638, 766

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 215

List of positive integer divisors of 215 that divides 215 without a remainder.

1, 5, 43, 215

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Greatest Common Divisior

We found the divisors of 473, 215, 638, 766 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 215, 638, 766 is 1.

Therefore, GCD of numbers 473, 215, 638, 766 is 1

Given Input Data is 473, 215, 638, 766

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 215 is 5 x 43

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 766 is 2 x 383

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, 215) = 2365

GCD(473, 215) = ( 473 x 215 ) / 2365

GCD(473, 215) = 101695 / 2365

GCD(473, 215) = 43

Step2:

Here we consider the GCD from the above i.e. 43 as first number and the next as 638

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

LCM(43, 638) = 27434

GCD(43, 638) = ( 43 x 638 ) / 27434

GCD(43, 638) = 27434 / 27434

GCD(43, 638) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 766

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

LCM(1, 766) = 766

GCD(1, 766) = ( 1 x 766 ) / 766

GCD(1, 766) = 766 / 766

GCD(1, 766) = 1

GCD of 473, 215, 638, 766 is 1

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1. What is the GCD of 473, 215, 638, 766?

GCD of 473, 215, 638, 766 is 1

2. Where do I get the detailed procedure to find GCD of 473, 215, 638, 766?

You can find a detailed procedure to find GCD of 473, 215, 638, 766 on our page.

3. How to find GCD of 473, 215, 638, 766 on a calculator?

You can find the GCD of 473, 215, 638, 766 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.