GCD of 531, 231, 546 Calculator

Given Input numbers are 531, 231, 546

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

Divisors of 531

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

1, 3, 9, 59, 177, 531

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 531, 231, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 531, 231, 546 is 3.

Therefore, GCD of numbers 531, 231, 546 is 3

Given Input Data is 531, 231, 546

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

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 231 is 3 x 7 x 11

Prime Factorization of 546 is 2 x 3 x 7 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(531, 231) = 40887

GCD(531, 231) = ( 531 x 231 ) / 40887

GCD(531, 231) = 122661 / 40887

GCD(531, 231) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 546

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

LCM(3, 546) = 546

GCD(3, 546) = ( 3 x 546 ) / 546

GCD(3, 546) = 1638 / 546

GCD(3, 546) = 3

GCD of 531, 231, 546 is 3

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1. What is the GCD of 531, 231, 546?

GCD of 531, 231, 546 is 3

2. Where do I get the detailed procedure to find GCD of 531, 231, 546?

You can find a detailed procedure to find GCD of 531, 231, 546 on our page.

3. How to find GCD of 531, 231, 546 on a calculator?

You can find the GCD of 531, 231, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.