GCD of 940, 668, 198, 594 Calculator

Given Input numbers are 940, 668, 198, 594

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

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 668

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

1, 2, 4, 167, 334, 668

Divisors of 198

List of positive integer divisors of 198 that divides 198 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 940, 668, 198, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 668, 198, 594 is 2.

Therefore, GCD of numbers 940, 668, 198, 594 is 2

Given Input Data is 940, 668, 198, 594

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

Prime Factorization of 940 is 2 x 2 x 5 x 47

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 198 is 2 x 3 x 3 x 11

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(940, 668) = 156980

GCD(940, 668) = ( 940 x 668 ) / 156980

GCD(940, 668) = 627920 / 156980

GCD(940, 668) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 198

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

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

GCD(4, 198) = 792 / 396

GCD(4, 198) = 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 940, 668, 198, 594 is 2

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1. What is the GCD of 940, 668, 198, 594?

GCD of 940, 668, 198, 594 is 2

2. Where do I get the detailed procedure to find GCD of 940, 668, 198, 594?

You can find a detailed procedure to find GCD of 940, 668, 198, 594 on our page.

3. How to find GCD of 940, 668, 198, 594 on a calculator?

You can find the GCD of 940, 668, 198, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.