GCD of 697, 576, 390, 416 Calculator

Given Input numbers are 697, 576, 390, 416

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 576

List of positive integer divisors of 576 that divides 576 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 390

List of positive integer divisors of 390 that divides 390 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Greatest Common Divisior

We found the divisors of 697, 576, 390, 416 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 576, 390, 416 is 1.

Therefore, GCD of numbers 697, 576, 390, 416 is 1

Given Input Data is 697, 576, 390, 416

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime Factorization of 390 is 2 x 3 x 5 x 13

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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(697, 576) = 401472

GCD(697, 576) = ( 697 x 576 ) / 401472

GCD(697, 576) = 401472 / 401472

GCD(697, 576) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 390

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

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

GCD(1, 390) = 390 / 390

GCD(1, 390) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 416

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

LCM(1, 416) = 416

GCD(1, 416) = ( 1 x 416 ) / 416

GCD(1, 416) = 416 / 416

GCD(1, 416) = 1

GCD of 697, 576, 390, 416 is 1

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1. What is the GCD of 697, 576, 390, 416?

GCD of 697, 576, 390, 416 is 1

2. Where do I get the detailed procedure to find GCD of 697, 576, 390, 416?

You can find a detailed procedure to find GCD of 697, 576, 390, 416 on our page.

3. How to find GCD of 697, 576, 390, 416 on a calculator?

You can find the GCD of 697, 576, 390, 416 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.