GCD of 174, 355, 85, 564 Calculator

Given Input numbers are 174, 355, 85, 564

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

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 355

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

1, 5, 71, 355

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 174, 355, 85, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 355, 85, 564 is 1.

Therefore, GCD of numbers 174, 355, 85, 564 is 1

Given Input Data is 174, 355, 85, 564

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

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 355 is 5 x 71

Prime Factorization of 85 is 5 x 17

Prime Factorization of 564 is 2 x 2 x 3 x 47

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(174, 355) = 61770

GCD(174, 355) = ( 174 x 355 ) / 61770

GCD(174, 355) = 61770 / 61770

GCD(174, 355) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 174, 355, 85, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 444, 66, 242
• GCD of 118, 310, 65, 970
• GCD of 686, 860, 11, 737
• GCD of 499, 386, 32, 847
• GCD of 706, 354, 28, 978

1. What is the GCD of 174, 355, 85, 564?

GCD of 174, 355, 85, 564 is 1

2. Where do I get the detailed procedure to find GCD of 174, 355, 85, 564?

You can find a detailed procedure to find GCD of 174, 355, 85, 564 on our page.

3. How to find GCD of 174, 355, 85, 564 on a calculator?

You can find the GCD of 174, 355, 85, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.