GCD of 364, 332, 412, 473 Calculator

Given Input numbers are 364, 332, 412, 473

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

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 332

List of positive integer divisors of 332 that divides 332 without a remainder.

1, 2, 4, 83, 166, 332

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 473

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

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 364, 332, 412, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 364, 332, 412, 473 is 1.

Therefore, GCD of numbers 364, 332, 412, 473 is 1

Given Input Data is 364, 332, 412, 473

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

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 332 is 2 x 2 x 83

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 473 is 11 x 43

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(364, 332) = 30212

GCD(364, 332) = ( 364 x 332 ) / 30212

GCD(364, 332) = 120848 / 30212

GCD(364, 332) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 412

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

LCM(4, 412) = 412

GCD(4, 412) = ( 4 x 412 ) / 412

GCD(4, 412) = 1648 / 412

GCD(4, 412) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 473

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

LCM(4, 473) = 1892

GCD(4, 473) = ( 4 x 473 ) / 1892

GCD(4, 473) = 1892 / 1892

GCD(4, 473) = 1

GCD of 364, 332, 412, 473 is 1

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• GCD of 407, 541, 584, 217
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• GCD of 498, 631, 842, 536

1. What is the GCD of 364, 332, 412, 473?

GCD of 364, 332, 412, 473 is 1

2. Where do I get the detailed procedure to find GCD of 364, 332, 412, 473?

You can find a detailed procedure to find GCD of 364, 332, 412, 473 on our page.

3. How to find GCD of 364, 332, 412, 473 on a calculator?

You can find the GCD of 364, 332, 412, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.