GCD of 407, 363, 689, 928 Calculator

Given Input numbers are 407, 363, 689, 928

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

Divisors of 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 928

List of positive integer divisors of 928 that divides 928 without a remainder.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Greatest Common Divisior

We found the divisors of 407, 363, 689, 928 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 407, 363, 689, 928 is 1.

Therefore, GCD of numbers 407, 363, 689, 928 is 1

Given Input Data is 407, 363, 689, 928

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

Prime Factorization of 407 is 11 x 37

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 689 is 13 x 53

Prime Factorization of 928 is 2 x 2 x 2 x 2 x 2 x 29

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(407, 363) = 13431

GCD(407, 363) = ( 407 x 363 ) / 13431

GCD(407, 363) = 147741 / 13431

GCD(407, 363) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 689

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

LCM(11, 689) = 7579

GCD(11, 689) = ( 11 x 689 ) / 7579

GCD(11, 689) = 7579 / 7579

GCD(11, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 928

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

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

GCD(1, 928) = 928 / 928

GCD(1, 928) = 1

GCD of 407, 363, 689, 928 is 1

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1. What is the GCD of 407, 363, 689, 928?

GCD of 407, 363, 689, 928 is 1

2. Where do I get the detailed procedure to find GCD of 407, 363, 689, 928?

You can find a detailed procedure to find GCD of 407, 363, 689, 928 on our page.

3. How to find GCD of 407, 363, 689, 928 on a calculator?

You can find the GCD of 407, 363, 689, 928 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.