GCD of 567, 185, 355, 275 Calculator

Given Input numbers are 567, 185, 355, 275

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 355

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

1, 5, 71, 355

Divisors of 275

List of positive integer divisors of 275 that divides 275 without a remainder.

1, 5, 11, 25, 55, 275

Greatest Common Divisior

We found the divisors of 567, 185, 355, 275 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 185, 355, 275 is 1.

Therefore, GCD of numbers 567, 185, 355, 275 is 1

Given Input Data is 567, 185, 355, 275

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 185 is 5 x 37

Prime Factorization of 355 is 5 x 71

Prime Factorization of 275 is 5 x 5 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(567, 185) = 104895

GCD(567, 185) = ( 567 x 185 ) / 104895

GCD(567, 185) = 104895 / 104895

GCD(567, 185) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 275

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

LCM(1, 275) = 275

GCD(1, 275) = ( 1 x 275 ) / 275

GCD(1, 275) = 275 / 275

GCD(1, 275) = 1

GCD of 567, 185, 355, 275 is 1

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1. What is the GCD of 567, 185, 355, 275?

GCD of 567, 185, 355, 275 is 1

2. Where do I get the detailed procedure to find GCD of 567, 185, 355, 275?

You can find a detailed procedure to find GCD of 567, 185, 355, 275 on our page.

3. How to find GCD of 567, 185, 355, 275 on a calculator?

You can find the GCD of 567, 185, 355, 275 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.