GCD of 122, 960, 300 Calculator

Given Input numbers are 122, 960, 300

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 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

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

Greatest Common Divisior

We found the divisors of 122, 960, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 122, 960, 300 is 2.

Therefore, GCD of numbers 122, 960, 300 is 2

Given Input Data is 122, 960, 300

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

Prime Factorization of 122 is 2 x 61

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 960) = 58560

GCD(122, 960) = ( 122 x 960 ) / 58560

GCD(122, 960) = 117120 / 58560

GCD(122, 960) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 300

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

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

GCD(2, 300) = 600 / 300

GCD(2, 300) = 2

GCD of 122, 960, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 713, 695
• GCD of 356, 681, 704
• GCD of 829, 253, 367
• GCD of 350, 719, 919
• GCD of 239, 780, 266

1. What is the GCD of 122, 960, 300?

GCD of 122, 960, 300 is 2

2. Where do I get the detailed procedure to find GCD of 122, 960, 300?

You can find a detailed procedure to find GCD of 122, 960, 300 on our page.

3. How to find GCD of 122, 960, 300 on a calculator?

You can find the GCD of 122, 960, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.