GCD of 396, 348, 40, 310 Calculator

Given Input numbers are 396, 348, 40, 310

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

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 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 310

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

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

Greatest Common Divisior

We found the divisors of 396, 348, 40, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 348, 40, 310 is 2.

Therefore, GCD of numbers 396, 348, 40, 310 is 2

Given Input Data is 396, 348, 40, 310

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

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 310 is 2 x 5 x 31

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(396, 348) = 11484

GCD(396, 348) = ( 396 x 348 ) / 11484

GCD(396, 348) = 137808 / 11484

GCD(396, 348) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 40

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

LCM(12, 40) = 120

GCD(12, 40) = ( 12 x 40 ) / 120

GCD(12, 40) = 480 / 120

GCD(12, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 310

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

LCM(4, 310) = 620

GCD(4, 310) = ( 4 x 310 ) / 620

GCD(4, 310) = 1240 / 620

GCD(4, 310) = 2

GCD of 396, 348, 40, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 443, 75, 110
• GCD of 950, 182, 60, 730
• GCD of 513, 677, 45, 839
• GCD of 446, 951, 31, 297
• GCD of 528, 906, 55, 897

1. What is the GCD of 396, 348, 40, 310?

GCD of 396, 348, 40, 310 is 2

2. Where do I get the detailed procedure to find GCD of 396, 348, 40, 310?

You can find a detailed procedure to find GCD of 396, 348, 40, 310 on our page.

3. How to find GCD of 396, 348, 40, 310 on a calculator?

You can find the GCD of 396, 348, 40, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.