GCD of 668, 518, 72, 743 Calculator

Given Input numbers are 668, 518, 72, 743

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

Divisors of 668

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

1, 2, 4, 167, 334, 668

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 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 668, 518, 72, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 518, 72, 743 is 1.

Therefore, GCD of numbers 668, 518, 72, 743 is 1

Given Input Data is 668, 518, 72, 743

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

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 743 is 743

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(668, 518) = 173012

GCD(668, 518) = ( 668 x 518 ) / 173012

GCD(668, 518) = 346024 / 173012

GCD(668, 518) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 743

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

LCM(2, 743) = 1486

GCD(2, 743) = ( 2 x 743 ) / 1486

GCD(2, 743) = 1486 / 1486

GCD(2, 743) = 1

GCD of 668, 518, 72, 743 is 1

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1. What is the GCD of 668, 518, 72, 743?

GCD of 668, 518, 72, 743 is 1

2. Where do I get the detailed procedure to find GCD of 668, 518, 72, 743?

You can find a detailed procedure to find GCD of 668, 518, 72, 743 on our page.

3. How to find GCD of 668, 518, 72, 743 on a calculator?

You can find the GCD of 668, 518, 72, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.