GCD of 518, 617, 446, 663 Calculator

Given Input numbers are 518, 617, 446, 663

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 663

List of positive integer divisors of 663 that divides 663 without a remainder.

1, 3, 13, 17, 39, 51, 221, 663

Greatest Common Divisior

We found the divisors of 518, 617, 446, 663 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 617, 446, 663 is 1.

Therefore, GCD of numbers 518, 617, 446, 663 is 1

Given Input Data is 518, 617, 446, 663

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 617 is 617

Prime Factorization of 446 is 2 x 223

Prime Factorization of 663 is 3 x 13 x 17

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(518, 617) = 319606

GCD(518, 617) = ( 518 x 617 ) / 319606

GCD(518, 617) = 319606 / 319606

GCD(518, 617) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 663

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

LCM(1, 663) = 663

GCD(1, 663) = ( 1 x 663 ) / 663

GCD(1, 663) = 663 / 663

GCD(1, 663) = 1

GCD of 518, 617, 446, 663 is 1

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1. What is the GCD of 518, 617, 446, 663?

GCD of 518, 617, 446, 663 is 1

2. Where do I get the detailed procedure to find GCD of 518, 617, 446, 663?

You can find a detailed procedure to find GCD of 518, 617, 446, 663 on our page.

3. How to find GCD of 518, 617, 446, 663 on a calculator?

You can find the GCD of 518, 617, 446, 663 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.