GCD of 21, 501, 507, 261 Calculator

Given Input numbers are 21, 501, 507, 261

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

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 501

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

1, 3, 167, 501

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Greatest Common Divisior

We found the divisors of 21, 501, 507, 261 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 21, 501, 507, 261 is 3.

Therefore, GCD of numbers 21, 501, 507, 261 is 3

Given Input Data is 21, 501, 507, 261

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

Prime Factorization of 21 is 3 x 7

Prime Factorization of 501 is 3 x 167

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 261 is 3 x 3 x 29

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(21, 501) = 3507

GCD(21, 501) = ( 21 x 501 ) / 3507

GCD(21, 501) = 10521 / 3507

GCD(21, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 507

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

LCM(3, 507) = 507

GCD(3, 507) = ( 3 x 507 ) / 507

GCD(3, 507) = 1521 / 507

GCD(3, 507) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 261

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

LCM(3, 261) = 261

GCD(3, 261) = ( 3 x 261 ) / 261

GCD(3, 261) = 783 / 261

GCD(3, 261) = 3

GCD of 21, 501, 507, 261 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 93, 757, 976, 369
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• GCD of 62, 400, 709, 632

1. What is the GCD of 21, 501, 507, 261?

GCD of 21, 501, 507, 261 is 3

2. Where do I get the detailed procedure to find GCD of 21, 501, 507, 261?

You can find a detailed procedure to find GCD of 21, 501, 507, 261 on our page.

3. How to find GCD of 21, 501, 507, 261 on a calculator?

You can find the GCD of 21, 501, 507, 261 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.