GCD of 408, 306, 345, 156 Calculator

Given Input numbers are 408, 306, 345, 156

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 345

List of positive integer divisors of 345 that divides 345 without a remainder.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 156

List of positive integer divisors of 156 that divides 156 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Greatest Common Divisior

We found the divisors of 408, 306, 345, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 306, 345, 156 is 3.

Therefore, GCD of numbers 408, 306, 345, 156 is 3

Given Input Data is 408, 306, 345, 156

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 156 is 2 x 2 x 3 x 13

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(408, 306) = 1224

GCD(408, 306) = ( 408 x 306 ) / 1224

GCD(408, 306) = 124848 / 1224

GCD(408, 306) = 102

Step2:

Here we consider the GCD from the above i.e. 102 as first number and the next as 345

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

LCM(102, 345) = 11730

GCD(102, 345) = ( 102 x 345 ) / 11730

GCD(102, 345) = 35190 / 11730

GCD(102, 345) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 156

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

LCM(3, 156) = 156

GCD(3, 156) = ( 3 x 156 ) / 156

GCD(3, 156) = 468 / 156

GCD(3, 156) = 3

GCD of 408, 306, 345, 156 is 3

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1. What is the GCD of 408, 306, 345, 156?

GCD of 408, 306, 345, 156 is 3

2. Where do I get the detailed procedure to find GCD of 408, 306, 345, 156?

You can find a detailed procedure to find GCD of 408, 306, 345, 156 on our page.

3. How to find GCD of 408, 306, 345, 156 on a calculator?

You can find the GCD of 408, 306, 345, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.