GCD of 554, 365, 19, 398 Calculator

Given Input numbers are 554, 365, 19, 398

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

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 554, 365, 19, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 365, 19, 398 is 1.

Therefore, GCD of numbers 554, 365, 19, 398 is 1

Given Input Data is 554, 365, 19, 398

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 365 is 5 x 73

Prime Factorization of 19 is 19

Prime Factorization of 398 is 2 x 199

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(554, 365) = 202210

GCD(554, 365) = ( 554 x 365 ) / 202210

GCD(554, 365) = 202210 / 202210

GCD(554, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 398

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

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

GCD(1, 398) = 398 / 398

GCD(1, 398) = 1

GCD of 554, 365, 19, 398 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 195, 120, 27, 507
• GCD of 263, 271, 34, 379
• GCD of 397, 280, 61, 813
• GCD of 278, 270, 14, 309
• GCD of 563, 585, 35, 603

1. What is the GCD of 554, 365, 19, 398?

GCD of 554, 365, 19, 398 is 1

2. Where do I get the detailed procedure to find GCD of 554, 365, 19, 398?

You can find a detailed procedure to find GCD of 554, 365, 19, 398 on our page.

3. How to find GCD of 554, 365, 19, 398 on a calculator?

You can find the GCD of 554, 365, 19, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.