GCD of 337, 988, 409, 554 Calculator

Given Input numbers are 337, 988, 409, 554

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

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 988

List of positive integer divisors of 988 that divides 988 without a remainder.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 409

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

1, 409

Divisors of 554

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

1, 2, 277, 554

Greatest Common Divisior

We found the divisors of 337, 988, 409, 554 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 337, 988, 409, 554 is 1.

Therefore, GCD of numbers 337, 988, 409, 554 is 1

Given Input Data is 337, 988, 409, 554

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

Prime Factorization of 337 is 337

Prime Factorization of 988 is 2 x 2 x 13 x 19

Prime Factorization of 409 is 409

Prime Factorization of 554 is 2 x 277

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(337, 988) = 332956

GCD(337, 988) = ( 337 x 988 ) / 332956

GCD(337, 988) = 332956 / 332956

GCD(337, 988) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

GCD of 337, 988, 409, 554 is 1

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1. What is the GCD of 337, 988, 409, 554?

GCD of 337, 988, 409, 554 is 1

2. Where do I get the detailed procedure to find GCD of 337, 988, 409, 554?

You can find a detailed procedure to find GCD of 337, 988, 409, 554 on our page.

3. How to find GCD of 337, 988, 409, 554 on a calculator?

You can find the GCD of 337, 988, 409, 554 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.