GCD of 399, 421, 450, 513 Calculator

Given Input numbers are 399, 421, 450, 513

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

Divisors of 399

List of positive integer divisors of 399 that divides 399 without a remainder.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 421

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

1, 421

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Greatest Common Divisior

We found the divisors of 399, 421, 450, 513 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 399, 421, 450, 513 is 1.

Therefore, GCD of numbers 399, 421, 450, 513 is 1

Given Input Data is 399, 421, 450, 513

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

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 421 is 421

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 513 is 3 x 3 x 3 x 19

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(399, 421) = 167979

GCD(399, 421) = ( 399 x 421 ) / 167979

GCD(399, 421) = 167979 / 167979

GCD(399, 421) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 450

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

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

GCD(1, 450) = 450 / 450

GCD(1, 450) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 513

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

LCM(1, 513) = 513

GCD(1, 513) = ( 1 x 513 ) / 513

GCD(1, 513) = 513 / 513

GCD(1, 513) = 1

GCD of 399, 421, 450, 513 is 1

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1. What is the GCD of 399, 421, 450, 513?

GCD of 399, 421, 450, 513 is 1

2. Where do I get the detailed procedure to find GCD of 399, 421, 450, 513?

You can find a detailed procedure to find GCD of 399, 421, 450, 513 on our page.

3. How to find GCD of 399, 421, 450, 513 on a calculator?

You can find the GCD of 399, 421, 450, 513 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.