GCD of 618, 404, 509, 668 Calculator

Given Input numbers are 618, 404, 509, 668

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

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 618, 404, 509, 668 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 404, 509, 668 is 1.

Therefore, GCD of numbers 618, 404, 509, 668 is 1

Given Input Data is 618, 404, 509, 668

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 509 is 509

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(618, 404) = 124836

GCD(618, 404) = ( 618 x 404 ) / 124836

GCD(618, 404) = 249672 / 124836

GCD(618, 404) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 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 618, 404, 509, 668 is 1

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1. What is the GCD of 618, 404, 509, 668?

GCD of 618, 404, 509, 668 is 1

2. Where do I get the detailed procedure to find GCD of 618, 404, 509, 668?

You can find a detailed procedure to find GCD of 618, 404, 509, 668 on our page.

3. How to find GCD of 618, 404, 509, 668 on a calculator?

You can find the GCD of 618, 404, 509, 668 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.