GCD of 501, 549, 267, 933 Calculator

Given Input numbers are 501, 549, 267, 933

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Greatest Common Divisior

We found the divisors of 501, 549, 267, 933 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 549, 267, 933 is 3.

Therefore, GCD of numbers 501, 549, 267, 933 is 3

Given Input Data is 501, 549, 267, 933

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 267 is 3 x 89

Prime Factorization of 933 is 3 x 311

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(501, 549) = 91683

GCD(501, 549) = ( 501 x 549 ) / 91683

GCD(501, 549) = 275049 / 91683

GCD(501, 549) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 267

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

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

GCD(3, 267) = 801 / 267

GCD(3, 267) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 933

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

LCM(3, 933) = 933

GCD(3, 933) = ( 3 x 933 ) / 933

GCD(3, 933) = 2799 / 933

GCD(3, 933) = 3

GCD of 501, 549, 267, 933 is 3

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1. What is the GCD of 501, 549, 267, 933?

GCD of 501, 549, 267, 933 is 3

2. Where do I get the detailed procedure to find GCD of 501, 549, 267, 933?

You can find a detailed procedure to find GCD of 501, 549, 267, 933 on our page.

3. How to find GCD of 501, 549, 267, 933 on a calculator?

You can find the GCD of 501, 549, 267, 933 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.