GCD of 486, 349, 44, 144 Calculator

Given Input numbers are 486, 349, 44, 144

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

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 349

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

1, 349

Divisors of 44

List of positive integer divisors of 44 that divides 44 without a remainder.

1, 2, 4, 11, 22, 44

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 486, 349, 44, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 486, 349, 44, 144 is 1.

Therefore, GCD of numbers 486, 349, 44, 144 is 1

Given Input Data is 486, 349, 44, 144

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

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 349 is 349

Prime Factorization of 44 is 2 x 2 x 11

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(486, 349) = 169614

GCD(486, 349) = ( 486 x 349 ) / 169614

GCD(486, 349) = 169614 / 169614

GCD(486, 349) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 44

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

LCM(1, 44) = 44

GCD(1, 44) = ( 1 x 44 ) / 44

GCD(1, 44) = 44 / 44

GCD(1, 44) = 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 486, 349, 44, 144 is 1

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1. What is the GCD of 486, 349, 44, 144?

GCD of 486, 349, 44, 144 is 1

2. Where do I get the detailed procedure to find GCD of 486, 349, 44, 144?

You can find a detailed procedure to find GCD of 486, 349, 44, 144 on our page.

3. How to find GCD of 486, 349, 44, 144 on a calculator?

You can find the GCD of 486, 349, 44, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.