GCD of 505, 638, 455, 668 Calculator

Given Input numbers are 505, 638, 455, 668

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

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 455

List of positive integer divisors of 455 that divides 455 without a remainder.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Greatest Common Divisior

We found the divisors of 505, 638, 455, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 505, 638, 455, 668 is 1.

Therefore, GCD of numbers 505, 638, 455, 668 is 1

Given Input Data is 505, 638, 455, 668

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

Prime Factorization of 505 is 5 x 101

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 455 is 5 x 7 x 13

Prime Factorization of 668 is 2 x 2 x 167

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(505, 638) = 322190

GCD(505, 638) = ( 505 x 638 ) / 322190

GCD(505, 638) = 322190 / 322190

GCD(505, 638) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 455

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

LCM(1, 455) = 455

GCD(1, 455) = ( 1 x 455 ) / 455

GCD(1, 455) = 455 / 455

GCD(1, 455) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 668

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

LCM(1, 668) = 668

GCD(1, 668) = ( 1 x 668 ) / 668

GCD(1, 668) = 668 / 668

GCD(1, 668) = 1

GCD of 505, 638, 455, 668 is 1

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1. What is the GCD of 505, 638, 455, 668?

GCD of 505, 638, 455, 668 is 1

2. Where do I get the detailed procedure to find GCD of 505, 638, 455, 668?

You can find a detailed procedure to find GCD of 505, 638, 455, 668 on our page.

3. How to find GCD of 505, 638, 455, 668 on a calculator?

You can find the GCD of 505, 638, 455, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.