GCD of 408, 739, 55, 198 Calculator

Given Input numbers are 408, 739, 55, 198

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 55

List of positive integer divisors of 55 that divides 55 without a remainder.

1, 5, 11, 55

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

Greatest Common Divisior

We found the divisors of 408, 739, 55, 198 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 739, 55, 198 is 1.

Therefore, GCD of numbers 408, 739, 55, 198 is 1

Given Input Data is 408, 739, 55, 198

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 739 is 739

Prime Factorization of 55 is 5 x 11

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

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(408, 739) = 301512

GCD(408, 739) = ( 408 x 739 ) / 301512

GCD(408, 739) = 301512 / 301512

GCD(408, 739) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 55

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

LCM(1, 55) = 55

GCD(1, 55) = ( 1 x 55 ) / 55

GCD(1, 55) = 55 / 55

GCD(1, 55) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 198

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

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

GCD(1, 198) = 198 / 198

GCD(1, 198) = 1

GCD of 408, 739, 55, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 186, 775, 84, 380
• GCD of 768, 190, 56, 643
• GCD of 541, 784, 47, 869
• GCD of 481, 149, 14, 203
• GCD of 762, 474, 40, 199

1. What is the GCD of 408, 739, 55, 198?

GCD of 408, 739, 55, 198 is 1

2. Where do I get the detailed procedure to find GCD of 408, 739, 55, 198?

You can find a detailed procedure to find GCD of 408, 739, 55, 198 on our page.

3. How to find GCD of 408, 739, 55, 198 on a calculator?

You can find the GCD of 408, 739, 55, 198 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.