GCD of 831, 531, 162 Calculator

Given Input numbers are 831, 531, 162

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

Divisors of 831

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

1, 3, 277, 831

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

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

Greatest Common Divisior

We found the divisors of 831, 531, 162 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 531, 162 is 3.

Therefore, GCD of numbers 831, 531, 162 is 3

Given Input Data is 831, 531, 162

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

Prime Factorization of 831 is 3 x 277

Prime Factorization of 531 is 3 x 3 x 59

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

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(831, 531) = 147087

GCD(831, 531) = ( 831 x 531 ) / 147087

GCD(831, 531) = 441261 / 147087

GCD(831, 531) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 162

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

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

GCD(3, 162) = 486 / 162

GCD(3, 162) = 3

GCD of 831, 531, 162 is 3

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1. What is the GCD of 831, 531, 162?

GCD of 831, 531, 162 is 3

2. Where do I get the detailed procedure to find GCD of 831, 531, 162?

You can find a detailed procedure to find GCD of 831, 531, 162 on our page.

3. How to find GCD of 831, 531, 162 on a calculator?

You can find the GCD of 831, 531, 162 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.