GCD of 544, 288, 361, 706 Calculator

Given Input numbers are 544, 288, 361, 706

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

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

Divisors of 288

List of positive integer divisors of 288 that divides 288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 544, 288, 361, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 544, 288, 361, 706 is 1.

Therefore, GCD of numbers 544, 288, 361, 706 is 1

Given Input Data is 544, 288, 361, 706

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

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

Prime Factorization of 288 is 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 361 is 19 x 19

Prime Factorization of 706 is 2 x 353

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(544, 288) = 4896

GCD(544, 288) = ( 544 x 288 ) / 4896

GCD(544, 288) = 156672 / 4896

GCD(544, 288) = 32

Step2:

Here we consider the GCD from the above i.e. 32 as first number and the next as 361

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

LCM(32, 361) = 11552

GCD(32, 361) = ( 32 x 361 ) / 11552

GCD(32, 361) = 11552 / 11552

GCD(32, 361) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 544, 288, 361, 706 is 1

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1. What is the GCD of 544, 288, 361, 706?

GCD of 544, 288, 361, 706 is 1

2. Where do I get the detailed procedure to find GCD of 544, 288, 361, 706?

You can find a detailed procedure to find GCD of 544, 288, 361, 706 on our page.

3. How to find GCD of 544, 288, 361, 706 on a calculator?

You can find the GCD of 544, 288, 361, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.