GCD of 549, 349, 612, 144 Calculator

Given Input numbers are 549, 349, 612, 144

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 349

List of positive integer divisors of 349 that divides 349 without a remainder.

1, 349

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Greatest Common Divisior

We found the divisors of 549, 349, 612, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 549, 349, 612, 144 is 1.

Therefore, GCD of numbers 549, 349, 612, 144 is 1

Given Input Data is 549, 349, 612, 144

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 349 is 349

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

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(549, 349) = 191601

GCD(549, 349) = ( 549 x 349 ) / 191601

GCD(549, 349) = 191601 / 191601

GCD(549, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 612

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

LCM(1, 612) = 612

GCD(1, 612) = ( 1 x 612 ) / 612

GCD(1, 612) = 612 / 612

GCD(1, 612) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 549, 349, 612, 144 is 1

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1. What is the GCD of 549, 349, 612, 144?

GCD of 549, 349, 612, 144 is 1

2. Where do I get the detailed procedure to find GCD of 549, 349, 612, 144?

You can find a detailed procedure to find GCD of 549, 349, 612, 144 on our page.

3. How to find GCD of 549, 349, 612, 144 on a calculator?

You can find the GCD of 549, 349, 612, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.