GCD of 722, 629, 19, 218 Calculator

Given Input numbers are 722, 629, 19, 218

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

Divisors of 722

List of positive integer divisors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

Divisors of 629

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

1, 17, 37, 629

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 722, 629, 19, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 629, 19, 218 is 1.

Therefore, GCD of numbers 722, 629, 19, 218 is 1

Given Input Data is 722, 629, 19, 218

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

Prime Factorization of 722 is 2 x 19 x 19

Prime Factorization of 629 is 17 x 37

Prime Factorization of 19 is 19

Prime Factorization of 218 is 2 x 109

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(722, 629) = 454138

GCD(722, 629) = ( 722 x 629 ) / 454138

GCD(722, 629) = 454138 / 454138

GCD(722, 629) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 722, 629, 19, 218 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 880, 28, 937
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• GCD of 578, 322, 64, 231

1. What is the GCD of 722, 629, 19, 218?

GCD of 722, 629, 19, 218 is 1

2. Where do I get the detailed procedure to find GCD of 722, 629, 19, 218?

You can find a detailed procedure to find GCD of 722, 629, 19, 218 on our page.

3. How to find GCD of 722, 629, 19, 218 on a calculator?

You can find the GCD of 722, 629, 19, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.