GCD of 808, 450, 166, 657 Calculator

Given Input numbers are 808, 450, 166, 657

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

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 166

List of positive integer divisors of 166 that divides 166 without a remainder.

1, 2, 83, 166

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 808, 450, 166, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 808, 450, 166, 657 is 1.

Therefore, GCD of numbers 808, 450, 166, 657 is 1

Given Input Data is 808, 450, 166, 657

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

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 166 is 2 x 83

Prime Factorization of 657 is 3 x 3 x 73

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(808, 450) = 181800

GCD(808, 450) = ( 808 x 450 ) / 181800

GCD(808, 450) = 363600 / 181800

GCD(808, 450) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 166

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

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

GCD(2, 166) = 332 / 166

GCD(2, 166) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 657

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

LCM(2, 657) = 1314

GCD(2, 657) = ( 2 x 657 ) / 1314

GCD(2, 657) = 1314 / 1314

GCD(2, 657) = 1

GCD of 808, 450, 166, 657 is 1

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1. What is the GCD of 808, 450, 166, 657?

GCD of 808, 450, 166, 657 is 1

2. Where do I get the detailed procedure to find GCD of 808, 450, 166, 657?

You can find a detailed procedure to find GCD of 808, 450, 166, 657 on our page.

3. How to find GCD of 808, 450, 166, 657 on a calculator?

You can find the GCD of 808, 450, 166, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.