GCD of 353, 592, 694, 355 Calculator

Given Input numbers are 353, 592, 694, 355

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

Divisors of 353

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

1, 353

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 353, 592, 694, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 353, 592, 694, 355 is 1.

Therefore, GCD of numbers 353, 592, 694, 355 is 1

Given Input Data is 353, 592, 694, 355

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

Prime Factorization of 353 is 353

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 694 is 2 x 347

Prime Factorization of 355 is 5 x 71

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(353, 592) = 208976

GCD(353, 592) = ( 353 x 592 ) / 208976

GCD(353, 592) = 208976 / 208976

GCD(353, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 353, 592, 694, 355 is 1

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1. What is the GCD of 353, 592, 694, 355?

GCD of 353, 592, 694, 355 is 1

2. Where do I get the detailed procedure to find GCD of 353, 592, 694, 355?

You can find a detailed procedure to find GCD of 353, 592, 694, 355 on our page.

3. How to find GCD of 353, 592, 694, 355 on a calculator?

You can find the GCD of 353, 592, 694, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.