GCD of 164, 298, 79, 549 Calculator

Given Input numbers are 164, 298, 79, 549

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 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 79

List of positive integer divisors of 79 that divides 79 without a remainder.

1, 79

Divisors of 549

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

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 164, 298, 79, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 298, 79, 549 is 1.

Therefore, GCD of numbers 164, 298, 79, 549 is 1

Given Input Data is 164, 298, 79, 549

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 298 is 2 x 149

Prime Factorization of 79 is 79

Prime Factorization of 549 is 3 x 3 x 61

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, 298) = 24436

GCD(164, 298) = ( 164 x 298 ) / 24436

GCD(164, 298) = 48872 / 24436

GCD(164, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 79

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

LCM(2, 79) = 158

GCD(2, 79) = ( 2 x 79 ) / 158

GCD(2, 79) = 158 / 158

GCD(2, 79) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 549

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

LCM(1, 549) = 549

GCD(1, 549) = ( 1 x 549 ) / 549

GCD(1, 549) = 549 / 549

GCD(1, 549) = 1

GCD of 164, 298, 79, 549 is 1

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1. What is the GCD of 164, 298, 79, 549?

GCD of 164, 298, 79, 549 is 1

2. Where do I get the detailed procedure to find GCD of 164, 298, 79, 549?

You can find a detailed procedure to find GCD of 164, 298, 79, 549 on our page.

3. How to find GCD of 164, 298, 79, 549 on a calculator?

You can find the GCD of 164, 298, 79, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.