GCD of 668, 671, 42, 123 Calculator

Given Input numbers are 668, 671, 42, 123

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 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 123

List of positive integer divisors of 123 that divides 123 without a remainder.

1, 3, 41, 123

Greatest Common Divisior

We found the divisors of 668, 671, 42, 123 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 671, 42, 123 is 1.

Therefore, GCD of numbers 668, 671, 42, 123 is 1

Given Input Data is 668, 671, 42, 123

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 671 is 11 x 61

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 123 is 3 x 41

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, 671) = 448228

GCD(668, 671) = ( 668 x 671 ) / 448228

GCD(668, 671) = 448228 / 448228

GCD(668, 671) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 123

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

LCM(1, 123) = 123

GCD(1, 123) = ( 1 x 123 ) / 123

GCD(1, 123) = 123 / 123

GCD(1, 123) = 1

GCD of 668, 671, 42, 123 is 1

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1. What is the GCD of 668, 671, 42, 123?

GCD of 668, 671, 42, 123 is 1

2. Where do I get the detailed procedure to find GCD of 668, 671, 42, 123?

You can find a detailed procedure to find GCD of 668, 671, 42, 123 on our page.

3. How to find GCD of 668, 671, 42, 123 on a calculator?

You can find the GCD of 668, 671, 42, 123 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.