GCD of 156, 345, 516, 382 Calculator

Given Input numbers are 156, 345, 516, 382

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

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

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Greatest Common Divisior

We found the divisors of 156, 345, 516, 382 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 156, 345, 516, 382 is 1.

Therefore, GCD of numbers 156, 345, 516, 382 is 1

Given Input Data is 156, 345, 516, 382

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

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

Prime Factorization of 345 is 3 x 5 x 23

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 382 is 2 x 191

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(156, 345) = 17940

GCD(156, 345) = ( 156 x 345 ) / 17940

GCD(156, 345) = 53820 / 17940

GCD(156, 345) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 516

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

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

GCD(3, 516) = 1548 / 516

GCD(3, 516) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 382

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

LCM(3, 382) = 1146

GCD(3, 382) = ( 3 x 382 ) / 1146

GCD(3, 382) = 1146 / 1146

GCD(3, 382) = 1

GCD of 156, 345, 516, 382 is 1

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1. What is the GCD of 156, 345, 516, 382?

GCD of 156, 345, 516, 382 is 1

2. Where do I get the detailed procedure to find GCD of 156, 345, 516, 382?

You can find a detailed procedure to find GCD of 156, 345, 516, 382 on our page.

3. How to find GCD of 156, 345, 516, 382 on a calculator?

You can find the GCD of 156, 345, 516, 382 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.