GCD of 588, 274, 695, 355 Calculator

Given Input numbers are 588, 274, 695, 355

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 274

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

1, 2, 137, 274

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

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 588, 274, 695, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 274, 695, 355 is 1.

Therefore, GCD of numbers 588, 274, 695, 355 is 1

Given Input Data is 588, 274, 695, 355

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 274 is 2 x 137

Prime Factorization of 695 is 5 x 139

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(588, 274) = 80556

GCD(588, 274) = ( 588 x 274 ) / 80556

GCD(588, 274) = 161112 / 80556

GCD(588, 274) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 695

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

LCM(2, 695) = 1390

GCD(2, 695) = ( 2 x 695 ) / 1390

GCD(2, 695) = 1390 / 1390

GCD(2, 695) = 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 588, 274, 695, 355 is 1

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1. What is the GCD of 588, 274, 695, 355?

GCD of 588, 274, 695, 355 is 1

2. Where do I get the detailed procedure to find GCD of 588, 274, 695, 355?

You can find a detailed procedure to find GCD of 588, 274, 695, 355 on our page.

3. How to find GCD of 588, 274, 695, 355 on a calculator?

You can find the GCD of 588, 274, 695, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.