GCD of 577, 289, 720, 396 Calculator

Given Input numbers are 577, 289, 720, 396

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

Divisors of 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Greatest Common Divisior

We found the divisors of 577, 289, 720, 396 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 289, 720, 396 is 1.

Therefore, GCD of numbers 577, 289, 720, 396 is 1

Given Input Data is 577, 289, 720, 396

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

Prime Factorization of 577 is 577

Prime Factorization of 289 is 17 x 17

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 396 is 2 x 2 x 3 x 3 x 11

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(577, 289) = 166753

GCD(577, 289) = ( 577 x 289 ) / 166753

GCD(577, 289) = 166753 / 166753

GCD(577, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 720

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

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

GCD(1, 720) = 720 / 720

GCD(1, 720) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 396

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

LCM(1, 396) = 396

GCD(1, 396) = ( 1 x 396 ) / 396

GCD(1, 396) = 396 / 396

GCD(1, 396) = 1

GCD of 577, 289, 720, 396 is 1

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1. What is the GCD of 577, 289, 720, 396?

GCD of 577, 289, 720, 396 is 1

2. Where do I get the detailed procedure to find GCD of 577, 289, 720, 396?

You can find a detailed procedure to find GCD of 577, 289, 720, 396 on our page.

3. How to find GCD of 577, 289, 720, 396 on a calculator?

You can find the GCD of 577, 289, 720, 396 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.