GCD of 537, 921, 231 Calculator

Given Input numbers are 537, 921, 231

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 231

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

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

Greatest Common Divisior

We found the divisors of 537, 921, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 921, 231 is 3.

Therefore, GCD of numbers 537, 921, 231 is 3

Given Input Data is 537, 921, 231

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 921 is 3 x 307

Prime Factorization of 231 is 3 x 7 x 11

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(537, 921) = 164859

GCD(537, 921) = ( 537 x 921 ) / 164859

GCD(537, 921) = 494577 / 164859

GCD(537, 921) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 231

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

LCM(3, 231) = 231

GCD(3, 231) = ( 3 x 231 ) / 231

GCD(3, 231) = 693 / 231

GCD(3, 231) = 3

GCD of 537, 921, 231 is 3

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1. What is the GCD of 537, 921, 231?

GCD of 537, 921, 231 is 3

2. Where do I get the detailed procedure to find GCD of 537, 921, 231?

You can find a detailed procedure to find GCD of 537, 921, 231 on our page.

3. How to find GCD of 537, 921, 231 on a calculator?

You can find the GCD of 537, 921, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.