GCD of 46, 362, 321, 409 Calculator

Given Input numbers are 46, 362, 321, 409

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

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 321

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

1, 3, 107, 321

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 46, 362, 321, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 362, 321, 409 is 1.

Therefore, GCD of numbers 46, 362, 321, 409 is 1

Given Input Data is 46, 362, 321, 409

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

Prime Factorization of 46 is 2 x 23

Prime Factorization of 362 is 2 x 181

Prime Factorization of 321 is 3 x 107

Prime Factorization of 409 is 409

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(46, 362) = 8326

GCD(46, 362) = ( 46 x 362 ) / 8326

GCD(46, 362) = 16652 / 8326

GCD(46, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 321

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

LCM(2, 321) = 642

GCD(2, 321) = ( 2 x 321 ) / 642

GCD(2, 321) = 642 / 642

GCD(2, 321) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

GCD of 46, 362, 321, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 31, 953, 866, 272
• GCD of 88, 637, 134, 211
• GCD of 19, 872, 435, 871
• GCD of 82, 160, 408, 815
• GCD of 29, 825, 530, 133

1. What is the GCD of 46, 362, 321, 409?

GCD of 46, 362, 321, 409 is 1

2. Where do I get the detailed procedure to find GCD of 46, 362, 321, 409?

You can find a detailed procedure to find GCD of 46, 362, 321, 409 on our page.

3. How to find GCD of 46, 362, 321, 409 on a calculator?

You can find the GCD of 46, 362, 321, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.