GCD of 36, 549, 718, 664 Calculator

Given Input numbers are 36, 549, 718, 664

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

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 549

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

1, 3, 9, 61, 183, 549

Divisors of 718

List of positive integer divisors of 718 that divides 718 without a remainder.

1, 2, 359, 718

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Greatest Common Divisior

We found the divisors of 36, 549, 718, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 36, 549, 718, 664 is 1.

Therefore, GCD of numbers 36, 549, 718, 664 is 1

Given Input Data is 36, 549, 718, 664

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

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 718 is 2 x 359

Prime Factorization of 664 is 2 x 2 x 2 x 83

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

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(36, 549) = 2196

GCD(36, 549) = ( 36 x 549 ) / 2196

GCD(36, 549) = 19764 / 2196

GCD(36, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 718

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

LCM(9, 718) = 6462

GCD(9, 718) = ( 9 x 718 ) / 6462

GCD(9, 718) = 6462 / 6462

GCD(9, 718) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 36, 549, 718, 664 is 1

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1. What is the GCD of 36, 549, 718, 664?

GCD of 36, 549, 718, 664 is 1

2. Where do I get the detailed procedure to find GCD of 36, 549, 718, 664?

You can find a detailed procedure to find GCD of 36, 549, 718, 664 on our page.

3. How to find GCD of 36, 549, 718, 664 on a calculator?

You can find the GCD of 36, 549, 718, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.