GCD of 321, 514, 409, 350 Calculator

Given Input numbers are 321, 514, 409, 350

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

Divisors of 321

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

1, 3, 107, 321

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 409

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

1, 409

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 321, 514, 409, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 514, 409, 350 is 1.

Therefore, GCD of numbers 321, 514, 409, 350 is 1

Given Input Data is 321, 514, 409, 350

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 514 is 2 x 257

Prime Factorization of 409 is 409

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(321, 514) = 164994

GCD(321, 514) = ( 321 x 514 ) / 164994

GCD(321, 514) = 164994 / 164994

GCD(321, 514) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 321, 514, 409, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 847, 705, 808, 241
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1. What is the GCD of 321, 514, 409, 350?

GCD of 321, 514, 409, 350 is 1

2. Where do I get the detailed procedure to find GCD of 321, 514, 409, 350?

You can find a detailed procedure to find GCD of 321, 514, 409, 350 on our page.

3. How to find GCD of 321, 514, 409, 350 on a calculator?

You can find the GCD of 321, 514, 409, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.