GCD of 668, 994, 16, 594 Calculator

Given Input numbers are 668, 994, 16, 594

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 994

List of positive integer divisors of 994 that divides 994 without a remainder.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 16

List of positive integer divisors of 16 that divides 16 without a remainder.

1, 2, 4, 8, 16

Divisors of 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Greatest Common Divisior

We found the divisors of 668, 994, 16, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 668, 994, 16, 594 is 2.

Therefore, GCD of numbers 668, 994, 16, 594 is 2

Given Input Data is 668, 994, 16, 594

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 994 is 2 x 7 x 71

Prime Factorization of 16 is 2 x 2 x 2 x 2

Prime Factorization of 594 is 2 x 3 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 994) = 331996

GCD(668, 994) = ( 668 x 994 ) / 331996

GCD(668, 994) = 663992 / 331996

GCD(668, 994) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 16

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

LCM(2, 16) = 16

GCD(2, 16) = ( 2 x 16 ) / 16

GCD(2, 16) = 32 / 16

GCD(2, 16) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 594

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

LCM(2, 594) = 594

GCD(2, 594) = ( 2 x 594 ) / 594

GCD(2, 594) = 1188 / 594

GCD(2, 594) = 2

GCD of 668, 994, 16, 594 is 2

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1. What is the GCD of 668, 994, 16, 594?

GCD of 668, 994, 16, 594 is 2

2. Where do I get the detailed procedure to find GCD of 668, 994, 16, 594?

You can find a detailed procedure to find GCD of 668, 994, 16, 594 on our page.

3. How to find GCD of 668, 994, 16, 594 on a calculator?

You can find the GCD of 668, 994, 16, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.