GCD of 687, 342, 156 Calculator

Given Input numbers are 687, 342, 156

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

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

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 687, 342, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 687, 342, 156 is 3.

Therefore, GCD of numbers 687, 342, 156 is 3

Given Input Data is 687, 342, 156

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

Prime Factorization of 687 is 3 x 229

Prime Factorization of 342 is 2 x 3 x 3 x 19

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(687, 342) = 78318

GCD(687, 342) = ( 687 x 342 ) / 78318

GCD(687, 342) = 234954 / 78318

GCD(687, 342) = 3

Step2:

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 687, 342, 156 is 3

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1. What is the GCD of 687, 342, 156?

GCD of 687, 342, 156 is 3

2. Where do I get the detailed procedure to find GCD of 687, 342, 156?

You can find a detailed procedure to find GCD of 687, 342, 156 on our page.

3. How to find GCD of 687, 342, 156 on a calculator?

You can find the GCD of 687, 342, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.