GCD of 684, 162, 831, 369 Calculator

Given Input numbers are 684, 162, 831, 369

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 162

List of positive integer divisors of 162 that divides 162 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 684, 162, 831, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 162, 831, 369 is 3.

Therefore, GCD of numbers 684, 162, 831, 369 is 3

Given Input Data is 684, 162, 831, 369

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3

Prime Factorization of 831 is 3 x 277

Prime Factorization of 369 is 3 x 3 x 41

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(684, 162) = 6156

GCD(684, 162) = ( 684 x 162 ) / 6156

GCD(684, 162) = 110808 / 6156

GCD(684, 162) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 831

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

LCM(18, 831) = 4986

GCD(18, 831) = ( 18 x 831 ) / 4986

GCD(18, 831) = 14958 / 4986

GCD(18, 831) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 369

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

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

GCD(3, 369) = 1107 / 369

GCD(3, 369) = 3

GCD of 684, 162, 831, 369 is 3

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1. What is the GCD of 684, 162, 831, 369?

GCD of 684, 162, 831, 369 is 3

2. Where do I get the detailed procedure to find GCD of 684, 162, 831, 369?

You can find a detailed procedure to find GCD of 684, 162, 831, 369 on our page.

3. How to find GCD of 684, 162, 831, 369 on a calculator?

You can find the GCD of 684, 162, 831, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.