GCD of 501, 906, 21, 381 Calculator

Given Input numbers are 501, 906, 21, 381

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 906

List of positive integer divisors of 906 that divides 906 without a remainder.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 21

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

1, 3, 7, 21

Divisors of 381

List of positive integer divisors of 381 that divides 381 without a remainder.

1, 3, 127, 381

Greatest Common Divisior

We found the divisors of 501, 906, 21, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 906, 21, 381 is 3.

Therefore, GCD of numbers 501, 906, 21, 381 is 3

Given Input Data is 501, 906, 21, 381

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 906 is 2 x 3 x 151

Prime Factorization of 21 is 3 x 7

Prime Factorization of 381 is 3 x 127

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, 906) = 151302

GCD(501, 906) = ( 501 x 906 ) / 151302

GCD(501, 906) = 453906 / 151302

GCD(501, 906) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 21

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

LCM(3, 21) = 21

GCD(3, 21) = ( 3 x 21 ) / 21

GCD(3, 21) = 63 / 21

GCD(3, 21) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 381

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

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

GCD(3, 381) = 1143 / 381

GCD(3, 381) = 3

GCD of 501, 906, 21, 381 is 3

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1. What is the GCD of 501, 906, 21, 381?

GCD of 501, 906, 21, 381 is 3

2. Where do I get the detailed procedure to find GCD of 501, 906, 21, 381?

You can find a detailed procedure to find GCD of 501, 906, 21, 381 on our page.

3. How to find GCD of 501, 906, 21, 381 on a calculator?

You can find the GCD of 501, 906, 21, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.