GCD of 51, 406, 143, 213 Calculator

Given Input numbers are 51, 406, 143, 213

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

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 143

List of positive integer divisors of 143 that divides 143 without a remainder.

1, 11, 13, 143

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 51, 406, 143, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 406, 143, 213 is 1.

Therefore, GCD of numbers 51, 406, 143, 213 is 1

Given Input Data is 51, 406, 143, 213

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 143 is 11 x 13

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(51, 406) = 20706

GCD(51, 406) = ( 51 x 406 ) / 20706

GCD(51, 406) = 20706 / 20706

GCD(51, 406) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 143

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

LCM(1, 143) = 143

GCD(1, 143) = ( 1 x 143 ) / 143

GCD(1, 143) = 143 / 143

GCD(1, 143) = 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 51, 406, 143, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 659, 787, 157
• GCD of 85, 287, 549, 321
• GCD of 80, 863, 805, 191
• GCD of 85, 682, 568, 344
• GCD of 49, 682, 500, 285

1. What is the GCD of 51, 406, 143, 213?

GCD of 51, 406, 143, 213 is 1

2. Where do I get the detailed procedure to find GCD of 51, 406, 143, 213?

You can find a detailed procedure to find GCD of 51, 406, 143, 213 on our page.

3. How to find GCD of 51, 406, 143, 213 on a calculator?

You can find the GCD of 51, 406, 143, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.