GCD of 554, 678, 398, 409 Calculator

Given Input numbers are 554, 678, 398, 409

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 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 398

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

1, 2, 199, 398

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Greatest Common Divisior

We found the divisors of 554, 678, 398, 409 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 554, 678, 398, 409 is 1.

Therefore, GCD of numbers 554, 678, 398, 409 is 1

Given Input Data is 554, 678, 398, 409

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

Prime Factorization of 554 is 2 x 277

Prime Factorization of 678 is 2 x 3 x 113

Prime Factorization of 398 is 2 x 199

Prime Factorization of 409 is 409

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, 678) = 187806

GCD(554, 678) = ( 554 x 678 ) / 187806

GCD(554, 678) = 375612 / 187806

GCD(554, 678) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 409

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

LCM(2, 409) = 818

GCD(2, 409) = ( 2 x 409 ) / 818

GCD(2, 409) = 818 / 818

GCD(2, 409) = 1

GCD of 554, 678, 398, 409 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 802, 683, 524, 842
• GCD of 233, 773, 740, 834
• GCD of 686, 313, 873, 119
• GCD of 311, 711, 499, 461
• GCD of 131, 883, 213, 892

1. What is the GCD of 554, 678, 398, 409?

GCD of 554, 678, 398, 409 is 1

2. Where do I get the detailed procedure to find GCD of 554, 678, 398, 409?

You can find a detailed procedure to find GCD of 554, 678, 398, 409 on our page.

3. How to find GCD of 554, 678, 398, 409 on a calculator?

You can find the GCD of 554, 678, 398, 409 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.