GCD of 552, 506, 84, 381 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 552, 506, 84, 381 i.e. 1 largest integer that divides all the numbers equally.

GCD of 552, 506, 84, 381 is 1

GCD(552, 506, 84, 381) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 552, 506, 84, 381 is 1

GCD(552, 506, 84, 381) = 1

GCD of 552,506,84,381 Calculator

GCDof 552,506,84,381 is 1

Given Input numbers are 552, 506, 84, 381

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

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

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 552, 506, 84, 381 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 506, 84, 381 is 1.

Therefore, GCD of numbers 552, 506, 84, 381 is 1

Finding GCD of 552, 506, 84, 381 using Prime Factorization

Given Input Data is 552, 506, 84, 381

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

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 381 is 3 x 127

The above numbers do not have any common prime factor. So GCD is 1

Finding GCD of 552, 506, 84, 381 using LCM Formula

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(552, 506) = 6072

GCD(552, 506) = ( 552 x 506 ) / 6072

GCD(552, 506) = 279312 / 6072

GCD(552, 506) = 46


Step2:

Here we consider the GCD from the above i.e. 46 as first number and the next as 84

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

LCM(46, 84) = 1932

GCD(46, 84) = ( 46 x 84 ) / 1932

GCD(46, 84) = 3864 / 1932

GCD(46, 84) = 2


Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 381

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

LCM(2, 381) = 762

GCD(2, 381) = ( 2 x 381 ) / 762

GCD(2, 381) = 762 / 762

GCD(2, 381) = 1

GCD of 552, 506, 84, 381 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 552, 506, 84, 381

1. What is the GCD of 552, 506, 84, 381?

GCD of 552, 506, 84, 381 is 1


2. Where do I get the detailed procedure to find GCD of 552, 506, 84, 381?

You can find a detailed procedure to find GCD of 552, 506, 84, 381 on our page.


3. How to find GCD of 552, 506, 84, 381 on a calculator?

You can find the GCD of 552, 506, 84, 381 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.