GCD of 368, 198, 522, 604 Calculator

Given Input numbers are 368, 198, 522, 604

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 368, 198, 522, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 198, 522, 604 is 2.

Therefore, GCD of numbers 368, 198, 522, 604 is 2

Given Input Data is 368, 198, 522, 604

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 604 is 2 x 2 x 151

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(368, 198) = 36432

GCD(368, 198) = ( 368 x 198 ) / 36432

GCD(368, 198) = 72864 / 36432

GCD(368, 198) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 522

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

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

GCD(2, 522) = 1044 / 522

GCD(2, 522) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 604

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

LCM(2, 604) = 604

GCD(2, 604) = ( 2 x 604 ) / 604

GCD(2, 604) = 1208 / 604

GCD(2, 604) = 2

GCD of 368, 198, 522, 604 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 760, 178, 719, 620
• GCD of 996, 345, 799, 828
• GCD of 361, 811, 280, 660
• GCD of 431, 970, 456, 131
• GCD of 389, 568, 542, 702

1. What is the GCD of 368, 198, 522, 604?

GCD of 368, 198, 522, 604 is 2

2. Where do I get the detailed procedure to find GCD of 368, 198, 522, 604?

You can find a detailed procedure to find GCD of 368, 198, 522, 604 on our page.

3. How to find GCD of 368, 198, 522, 604 on a calculator?

You can find the GCD of 368, 198, 522, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.