GCD of 222, 194, 350, 594 Calculator

Given Input numbers are 222, 194, 350, 594

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

Divisors of 222

List of positive integer divisors of 222 that divides 222 without a remainder.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

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 222, 194, 350, 594 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 222, 194, 350, 594 is 2.

Therefore, GCD of numbers 222, 194, 350, 594 is 2

Given Input Data is 222, 194, 350, 594

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

Prime Factorization of 222 is 2 x 3 x 37

Prime Factorization of 194 is 2 x 97

Prime Factorization of 350 is 2 x 5 x 5 x 7

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(222, 194) = 21534

GCD(222, 194) = ( 222 x 194 ) / 21534

GCD(222, 194) = 43068 / 21534

GCD(222, 194) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 350

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

LCM(2, 350) = 350

GCD(2, 350) = ( 2 x 350 ) / 350

GCD(2, 350) = 700 / 350

GCD(2, 350) = 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 222, 194, 350, 594 is 2

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1. What is the GCD of 222, 194, 350, 594?

GCD of 222, 194, 350, 594 is 2

2. Where do I get the detailed procedure to find GCD of 222, 194, 350, 594?

You can find a detailed procedure to find GCD of 222, 194, 350, 594 on our page.

3. How to find GCD of 222, 194, 350, 594 on a calculator?

You can find the GCD of 222, 194, 350, 594 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.