GCD of 369, 473, 412 Calculator

Given Input numbers are 369, 473, 412

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 473

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

1, 11, 43, 473

Divisors of 412

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

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 369, 473, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 473, 412 is 1.

Therefore, GCD of numbers 369, 473, 412 is 1

Given Input Data is 369, 473, 412

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

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 473 is 11 x 43

Prime Factorization of 412 is 2 x 2 x 103

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(369, 473) = 174537

GCD(369, 473) = ( 369 x 473 ) / 174537

GCD(369, 473) = 174537 / 174537

GCD(369, 473) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 369, 473, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 201, 577, 215
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• GCD of 416, 487, 584
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1. What is the GCD of 369, 473, 412?

GCD of 369, 473, 412 is 1

2. Where do I get the detailed procedure to find GCD of 369, 473, 412?

You can find a detailed procedure to find GCD of 369, 473, 412 on our page.

3. How to find GCD of 369, 473, 412 on a calculator?

You can find the GCD of 369, 473, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.