GCD of 553, 290, 344, 203 Calculator

Given Input numbers are 553, 290, 344, 203

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

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 553, 290, 344, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 553, 290, 344, 203 is 1.

Therefore, GCD of numbers 553, 290, 344, 203 is 1

Given Input Data is 553, 290, 344, 203

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

Prime Factorization of 553 is 7 x 79

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 203 is 7 x 29

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(553, 290) = 160370

GCD(553, 290) = ( 553 x 290 ) / 160370

GCD(553, 290) = 160370 / 160370

GCD(553, 290) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 553, 290, 344, 203 is 1

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1. What is the GCD of 553, 290, 344, 203?

GCD of 553, 290, 344, 203 is 1

2. Where do I get the detailed procedure to find GCD of 553, 290, 344, 203?

You can find a detailed procedure to find GCD of 553, 290, 344, 203 on our page.

3. How to find GCD of 553, 290, 344, 203 on a calculator?

You can find the GCD of 553, 290, 344, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.