GCD of 232, 629, 790, 214 Calculator

Given Input numbers are 232, 629, 790, 214

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 790

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

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 232, 629, 790, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 629, 790, 214 is 1.

Therefore, GCD of numbers 232, 629, 790, 214 is 1

Given Input Data is 232, 629, 790, 214

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 629 is 17 x 37

Prime Factorization of 790 is 2 x 5 x 79

Prime Factorization of 214 is 2 x 107

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(232, 629) = 145928

GCD(232, 629) = ( 232 x 629 ) / 145928

GCD(232, 629) = 145928 / 145928

GCD(232, 629) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 232, 629, 790, 214 is 1

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• GCD of 618, 597, 706, 646
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• GCD of 205, 160, 121, 724

1. What is the GCD of 232, 629, 790, 214?

GCD of 232, 629, 790, 214 is 1

2. Where do I get the detailed procedure to find GCD of 232, 629, 790, 214?

You can find a detailed procedure to find GCD of 232, 629, 790, 214 on our page.

3. How to find GCD of 232, 629, 790, 214 on a calculator?

You can find the GCD of 232, 629, 790, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.