GCD of 553, 627, 66, 814 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 553, 627, 66, 814 i.e. 1 largest integer that divides all the numbers equally.

GCD of 553, 627, 66, 814 is 1

GCD(553, 627, 66, 814) = 1

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

GCD of

GCD of numbers 553, 627, 66, 814 is 1

GCD(553, 627, 66, 814) = 1

GCD of 553,627,66,814 Calculator

GCDof 553,627,66,814 is 1

Given Input numbers are 553, 627, 66, 814

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 627

List of positive integer divisors of 627 that divides 627 without a remainder.

1, 3, 11, 19, 33, 57, 209, 627

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Greatest Common Divisior

We found the divisors of 553, 627, 66, 814 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 627, 66, 814 is 1.

Therefore, GCD of numbers 553, 627, 66, 814 is 1

Finding GCD of 553, 627, 66, 814 using Prime Factorization

Given Input Data is 553, 627, 66, 814

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 627 is 3 x 11 x 19

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 814 is 2 x 11 x 37

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

Finding GCD of 553, 627, 66, 814 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(553, 627) = 346731

GCD(553, 627) = ( 553 x 627 ) / 346731

GCD(553, 627) = 346731 / 346731

GCD(553, 627) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 814

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

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

GCD(1, 814) = 814 / 814

GCD(1, 814) = 1

GCD of 553, 627, 66, 814 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 553, 627, 66, 814

1. What is the GCD of 553, 627, 66, 814?

GCD of 553, 627, 66, 814 is 1


2. Where do I get the detailed procedure to find GCD of 553, 627, 66, 814?

You can find a detailed procedure to find GCD of 553, 627, 66, 814 on our page.


3. How to find GCD of 553, 627, 66, 814 on a calculator?

You can find the GCD of 553, 627, 66, 814 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.