GCD of 819, 721, 742, 122 Calculator

Given Input numbers are 819, 721, 742, 122

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

Greatest Common Divisior

We found the divisors of 819, 721, 742, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 721, 742, 122 is 1.

Therefore, GCD of numbers 819, 721, 742, 122 is 1

Given Input Data is 819, 721, 742, 122

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 721 is 7 x 103

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 122 is 2 x 61

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(819, 721) = 84357

GCD(819, 721) = ( 819 x 721 ) / 84357

GCD(819, 721) = 590499 / 84357

GCD(819, 721) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 742

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

LCM(7, 742) = 742

GCD(7, 742) = ( 7 x 742 ) / 742

GCD(7, 742) = 5194 / 742

GCD(7, 742) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 122

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

LCM(7, 122) = 854

GCD(7, 122) = ( 7 x 122 ) / 854

GCD(7, 122) = 854 / 854

GCD(7, 122) = 1

GCD of 819, 721, 742, 122 is 1

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1. What is the GCD of 819, 721, 742, 122?

GCD of 819, 721, 742, 122 is 1

2. Where do I get the detailed procedure to find GCD of 819, 721, 742, 122?

You can find a detailed procedure to find GCD of 819, 721, 742, 122 on our page.

3. How to find GCD of 819, 721, 742, 122 on a calculator?

You can find the GCD of 819, 721, 742, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.