GCD of 410, 399, 380, 213 Calculator

Given Input numbers are 410, 399, 380, 213

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

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 410, 399, 380, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 399, 380, 213 is 1.

Therefore, GCD of numbers 410, 399, 380, 213 is 1

Given Input Data is 410, 399, 380, 213

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 399 is 3 x 7 x 19

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 213 is 3 x 71

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(410, 399) = 163590

GCD(410, 399) = ( 410 x 399 ) / 163590

GCD(410, 399) = 163590 / 163590

GCD(410, 399) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 380

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

LCM(1, 380) = 380

GCD(1, 380) = ( 1 x 380 ) / 380

GCD(1, 380) = 380 / 380

GCD(1, 380) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 213

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

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

GCD(1, 213) = 213 / 213

GCD(1, 213) = 1

GCD of 410, 399, 380, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 257, 214, 996
• GCD of 236, 971, 657, 707
• GCD of 923, 614, 744, 871
• GCD of 872, 597, 139, 793
• GCD of 701, 949, 414, 697

1. What is the GCD of 410, 399, 380, 213?

GCD of 410, 399, 380, 213 is 1

2. Where do I get the detailed procedure to find GCD of 410, 399, 380, 213?

You can find a detailed procedure to find GCD of 410, 399, 380, 213 on our page.

3. How to find GCD of 410, 399, 380, 213 on a calculator?

You can find the GCD of 410, 399, 380, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.