GCD of 164, 595, 49, 544 Calculator

Given Input numbers are 164, 595, 49, 544

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

Divisors of 164

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

1, 2, 4, 41, 82, 164

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 544

List of positive integer divisors of 544 that divides 544 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

Greatest Common Divisior

We found the divisors of 164, 595, 49, 544 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 595, 49, 544 is 1.

Therefore, GCD of numbers 164, 595, 49, 544 is 1

Given Input Data is 164, 595, 49, 544

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 595 is 5 x 7 x 17

Prime Factorization of 49 is 7 x 7

Prime Factorization of 544 is 2 x 2 x 2 x 2 x 2 x 17

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(164, 595) = 97580

GCD(164, 595) = ( 164 x 595 ) / 97580

GCD(164, 595) = 97580 / 97580

GCD(164, 595) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 544

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

LCM(1, 544) = 544

GCD(1, 544) = ( 1 x 544 ) / 544

GCD(1, 544) = 544 / 544

GCD(1, 544) = 1

GCD of 164, 595, 49, 544 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 891, 40, 151
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• GCD of 869, 100, 36, 853

1. What is the GCD of 164, 595, 49, 544?

GCD of 164, 595, 49, 544 is 1

2. Where do I get the detailed procedure to find GCD of 164, 595, 49, 544?

You can find a detailed procedure to find GCD of 164, 595, 49, 544 on our page.

3. How to find GCD of 164, 595, 49, 544 on a calculator?

You can find the GCD of 164, 595, 49, 544 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.