GCD of 300, 994, 779, 122 Calculator

Given Input numbers are 300, 994, 779, 122

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

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

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 300, 994, 779, 122 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 994, 779, 122 is 1.

Therefore, GCD of numbers 300, 994, 779, 122 is 1

Given Input Data is 300, 994, 779, 122

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

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

Prime Factorization of 994 is 2 x 7 x 71

Prime Factorization of 779 is 19 x 41

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(300, 994) = 149100

GCD(300, 994) = ( 300 x 994 ) / 149100

GCD(300, 994) = 298200 / 149100

GCD(300, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 779

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

LCM(2, 779) = 1558

GCD(2, 779) = ( 2 x 779 ) / 1558

GCD(2, 779) = 1558 / 1558

GCD(2, 779) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 122

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

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

GCD(1, 122) = 122 / 122

GCD(1, 122) = 1

GCD of 300, 994, 779, 122 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 624, 410, 695, 543
• GCD of 285, 603, 482, 201
• GCD of 245, 174, 647, 446
• GCD of 827, 282, 872, 540
• GCD of 184, 552, 141, 519

1. What is the GCD of 300, 994, 779, 122?

GCD of 300, 994, 779, 122 is 1

2. Where do I get the detailed procedure to find GCD of 300, 994, 779, 122?

You can find a detailed procedure to find GCD of 300, 994, 779, 122 on our page.

3. How to find GCD of 300, 994, 779, 122 on a calculator?

You can find the GCD of 300, 994, 779, 122 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.