GCD of 344, 354, 550, 297 Calculator

Given Input numbers are 344, 354, 550, 297

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

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 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 550

List of positive integer divisors of 550 that divides 550 without a remainder.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Greatest Common Divisior

We found the divisors of 344, 354, 550, 297 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 344, 354, 550, 297 is 1.

Therefore, GCD of numbers 344, 354, 550, 297 is 1

Given Input Data is 344, 354, 550, 297

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

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

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 550 is 2 x 5 x 5 x 11

Prime Factorization of 297 is 3 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(344, 354) = 60888

GCD(344, 354) = ( 344 x 354 ) / 60888

GCD(344, 354) = 121776 / 60888

GCD(344, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 550

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

LCM(2, 550) = 550

GCD(2, 550) = ( 2 x 550 ) / 550

GCD(2, 550) = 1100 / 550

GCD(2, 550) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 297

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

LCM(2, 297) = 594

GCD(2, 297) = ( 2 x 297 ) / 594

GCD(2, 297) = 594 / 594

GCD(2, 297) = 1

GCD of 344, 354, 550, 297 is 1

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1. What is the GCD of 344, 354, 550, 297?

GCD of 344, 354, 550, 297 is 1

2. Where do I get the detailed procedure to find GCD of 344, 354, 550, 297?

You can find a detailed procedure to find GCD of 344, 354, 550, 297 on our page.

3. How to find GCD of 344, 354, 550, 297 on a calculator?

You can find the GCD of 344, 354, 550, 297 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.