GCD of 310, 396, 120 Calculator

Given Input numbers are 310, 396, 120

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

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 120

List of positive integer divisors of 120 that divides 120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Greatest Common Divisior

We found the divisors of 310, 396, 120 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 310, 396, 120 is 2.

Therefore, GCD of numbers 310, 396, 120 is 2

Given Input Data is 310, 396, 120

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

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 120 is 2 x 2 x 2 x 3 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(310, 396) = 61380

GCD(310, 396) = ( 310 x 396 ) / 61380

GCD(310, 396) = 122760 / 61380

GCD(310, 396) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 120

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

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

GCD(2, 120) = 240 / 120

GCD(2, 120) = 2

GCD of 310, 396, 120 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 316, 166
• GCD of 439, 636, 814
• GCD of 479, 668, 994
• GCD of 372, 846, 701
• GCD of 577, 606, 106

1. What is the GCD of 310, 396, 120?

GCD of 310, 396, 120 is 2

2. Where do I get the detailed procedure to find GCD of 310, 396, 120?

You can find a detailed procedure to find GCD of 310, 396, 120 on our page.

3. How to find GCD of 310, 396, 120 on a calculator?

You can find the GCD of 310, 396, 120 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.