GCD of 274, 353, 578 Calculator

Given Input numbers are 274, 353, 578

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

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Divisors of 353

List of positive integer divisors of 353 that divides 353 without a remainder.

1, 353

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 274, 353, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 274, 353, 578 is 1.

Therefore, GCD of numbers 274, 353, 578 is 1

Given Input Data is 274, 353, 578

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

Prime Factorization of 274 is 2 x 137

Prime Factorization of 353 is 353

Prime Factorization of 578 is 2 x 17 x 17

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(274, 353) = 96722

GCD(274, 353) = ( 274 x 353 ) / 96722

GCD(274, 353) = 96722 / 96722

GCD(274, 353) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 578

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

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

GCD(1, 578) = 578 / 578

GCD(1, 578) = 1

GCD of 274, 353, 578 is 1

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1. What is the GCD of 274, 353, 578?

GCD of 274, 353, 578 is 1

2. Where do I get the detailed procedure to find GCD of 274, 353, 578?

You can find a detailed procedure to find GCD of 274, 353, 578 on our page.

3. How to find GCD of 274, 353, 578 on a calculator?

You can find the GCD of 274, 353, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.