GCD of 122, 300, 301, 364 Calculator

Given Input numbers are 122, 300, 301, 364

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

Divisors of 122

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

1, 2, 61, 122

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 122, 300, 301, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 300, 301, 364 is 1.

Therefore, GCD of numbers 122, 300, 301, 364 is 1

Given Input Data is 122, 300, 301, 364

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 301 is 7 x 43

Prime Factorization of 364 is 2 x 2 x 7 x 13

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(122, 300) = 18300

GCD(122, 300) = ( 122 x 300 ) / 18300

GCD(122, 300) = 36600 / 18300

GCD(122, 300) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 301

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

LCM(2, 301) = 602

GCD(2, 301) = ( 2 x 301 ) / 602

GCD(2, 301) = 602 / 602

GCD(2, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 122, 300, 301, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 321, 813, 789, 565
• GCD of 311, 964, 140, 383
• GCD of 955, 656, 104, 706
• GCD of 905, 150, 233, 111
• GCD of 122, 308, 779, 392

1. What is the GCD of 122, 300, 301, 364?

GCD of 122, 300, 301, 364 is 1

2. Where do I get the detailed procedure to find GCD of 122, 300, 301, 364?

You can find a detailed procedure to find GCD of 122, 300, 301, 364 on our page.

3. How to find GCD of 122, 300, 301, 364 on a calculator?

You can find the GCD of 122, 300, 301, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.