GCD of 473, 167, 66, 321 Calculator

Given Input numbers are 473, 167, 66, 321

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 473, 167, 66, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 473, 167, 66, 321 is 1.

Therefore, GCD of numbers 473, 167, 66, 321 is 1

Given Input Data is 473, 167, 66, 321

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

Prime Factorization of 473 is 11 x 43

Prime Factorization of 167 is 167

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 321 is 3 x 107

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, 167) = 78991

GCD(473, 167) = ( 473 x 167 ) / 78991

GCD(473, 167) = 78991 / 78991

GCD(473, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 473, 167, 66, 321 is 1

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1. What is the GCD of 473, 167, 66, 321?

GCD of 473, 167, 66, 321 is 1

2. Where do I get the detailed procedure to find GCD of 473, 167, 66, 321?

You can find a detailed procedure to find GCD of 473, 167, 66, 321 on our page.

3. How to find GCD of 473, 167, 66, 321 on a calculator?

You can find the GCD of 473, 167, 66, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.