GCD of 396, 480, 709, 555 Calculator

Given Input numbers are 396, 480, 709, 555

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

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

Divisors of 480

List of positive integer divisors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 555

List of positive integer divisors of 555 that divides 555 without a remainder.

1, 3, 5, 15, 37, 111, 185, 555

Greatest Common Divisior

We found the divisors of 396, 480, 709, 555 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 396, 480, 709, 555 is 1.

Therefore, GCD of numbers 396, 480, 709, 555 is 1

Given Input Data is 396, 480, 709, 555

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

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

Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 709 is 709

Prime Factorization of 555 is 3 x 5 x 37

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(396, 480) = 15840

GCD(396, 480) = ( 396 x 480 ) / 15840

GCD(396, 480) = 190080 / 15840

GCD(396, 480) = 12

Step2:

Here we consider the GCD from the above i.e. 12 as first number and the next as 709

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

LCM(12, 709) = 8508

GCD(12, 709) = ( 12 x 709 ) / 8508

GCD(12, 709) = 8508 / 8508

GCD(12, 709) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 555

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

LCM(1, 555) = 555

GCD(1, 555) = ( 1 x 555 ) / 555

GCD(1, 555) = 555 / 555

GCD(1, 555) = 1

GCD of 396, 480, 709, 555 is 1

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1. What is the GCD of 396, 480, 709, 555?

GCD of 396, 480, 709, 555 is 1

2. Where do I get the detailed procedure to find GCD of 396, 480, 709, 555?

You can find a detailed procedure to find GCD of 396, 480, 709, 555 on our page.

3. How to find GCD of 396, 480, 709, 555 on a calculator?

You can find the GCD of 396, 480, 709, 555 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.