GCD of 217, 212, 51, 790 Calculator

Given Input numbers are 217, 212, 51, 790

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

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Divisors of 51

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

1, 3, 17, 51

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 217, 212, 51, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 217, 212, 51, 790 is 1.

Therefore, GCD of numbers 217, 212, 51, 790 is 1

Given Input Data is 217, 212, 51, 790

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

Prime Factorization of 217 is 7 x 31

Prime Factorization of 212 is 2 x 2 x 53

Prime Factorization of 51 is 3 x 17

Prime Factorization of 790 is 2 x 5 x 79

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(217, 212) = 46004

GCD(217, 212) = ( 217 x 212 ) / 46004

GCD(217, 212) = 46004 / 46004

GCD(217, 212) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 51

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

LCM(1, 51) = 51

GCD(1, 51) = ( 1 x 51 ) / 51

GCD(1, 51) = 51 / 51

GCD(1, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 790

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

LCM(1, 790) = 790

GCD(1, 790) = ( 1 x 790 ) / 790

GCD(1, 790) = 790 / 790

GCD(1, 790) = 1

GCD of 217, 212, 51, 790 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 738, 250, 21, 560
• GCD of 432, 745, 84, 377
• GCD of 729, 509, 23, 593
• GCD of 252, 865, 17, 715
• GCD of 701, 232, 79, 617

1. What is the GCD of 217, 212, 51, 790?

GCD of 217, 212, 51, 790 is 1

2. Where do I get the detailed procedure to find GCD of 217, 212, 51, 790?

You can find a detailed procedure to find GCD of 217, 212, 51, 790 on our page.

3. How to find GCD of 217, 212, 51, 790 on a calculator?

You can find the GCD of 217, 212, 51, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.