GCD of 549, 164, 364, 650 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 549, 164, 364, 650 i.e. 1 largest integer that divides all the numbers equally.

GCD of 549, 164, 364, 650 is 1

GCD(549, 164, 364, 650) = 1

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

GCD of

GCD of numbers 549, 164, 364, 650 is 1

GCD(549, 164, 364, 650) = 1

GCD of 549,164,364,650 Calculator

GCDof 549,164,364,650 is 1

Given Input numbers are 549, 164, 364, 650

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

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 549, 164, 364, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 164, 364, 650 is 1.

Therefore, GCD of numbers 549, 164, 364, 650 is 1

Finding GCD of 549, 164, 364, 650 using Prime Factorization

Given Input Data is 549, 164, 364, 650

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

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 650 is 2 x 5 x 5 x 13

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

Finding GCD of 549, 164, 364, 650 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(549, 164) = 90036

GCD(549, 164) = ( 549 x 164 ) / 90036

GCD(549, 164) = 90036 / 90036

GCD(549, 164) = 1


Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 549, 164, 364, 650 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 549, 164, 364, 650

1. What is the GCD of 549, 164, 364, 650?

GCD of 549, 164, 364, 650 is 1


2. Where do I get the detailed procedure to find GCD of 549, 164, 364, 650?

You can find a detailed procedure to find GCD of 549, 164, 364, 650 on our page.


3. How to find GCD of 549, 164, 364, 650 on a calculator?

You can find the GCD of 549, 164, 364, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.