GCD of 132, 473, 421, 478 Calculator

Given Input numbers are 132, 473, 421, 478

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

Divisors of 132

List of positive integer divisors of 132 that divides 132 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 473

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

1, 11, 43, 473

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Greatest Common Divisior

We found the divisors of 132, 473, 421, 478 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 132, 473, 421, 478 is 1.

Therefore, GCD of numbers 132, 473, 421, 478 is 1

Given Input Data is 132, 473, 421, 478

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

Prime Factorization of 132 is 2 x 2 x 3 x 11

Prime Factorization of 473 is 11 x 43

Prime Factorization of 421 is 421

Prime Factorization of 478 is 2 x 239

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(132, 473) = 5676

GCD(132, 473) = ( 132 x 473 ) / 5676

GCD(132, 473) = 62436 / 5676

GCD(132, 473) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 421

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

LCM(11, 421) = 4631

GCD(11, 421) = ( 11 x 421 ) / 4631

GCD(11, 421) = 4631 / 4631

GCD(11, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 478

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

LCM(1, 478) = 478

GCD(1, 478) = ( 1 x 478 ) / 478

GCD(1, 478) = 478 / 478

GCD(1, 478) = 1

GCD of 132, 473, 421, 478 is 1

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1. What is the GCD of 132, 473, 421, 478?

GCD of 132, 473, 421, 478 is 1

2. Where do I get the detailed procedure to find GCD of 132, 473, 421, 478?

You can find a detailed procedure to find GCD of 132, 473, 421, 478 on our page.

3. How to find GCD of 132, 473, 421, 478 on a calculator?

You can find the GCD of 132, 473, 421, 478 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.