GCD of 164, 527, 53, 174 Calculator

Given Input numbers are 164, 527, 53, 174

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

Divisors of 164

List of positive integer divisors of 164 that divides 164 without a remainder.

1, 2, 4, 41, 82, 164

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 174

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

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

Greatest Common Divisior

We found the divisors of 164, 527, 53, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 164, 527, 53, 174 is 1.

Therefore, GCD of numbers 164, 527, 53, 174 is 1

Given Input Data is 164, 527, 53, 174

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

Prime Factorization of 164 is 2 x 2 x 41

Prime Factorization of 527 is 17 x 31

Prime Factorization of 53 is 53

Prime Factorization of 174 is 2 x 3 x 29

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(164, 527) = 86428

GCD(164, 527) = ( 164 x 527 ) / 86428

GCD(164, 527) = 86428 / 86428

GCD(164, 527) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

GCD of 164, 527, 53, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 767, 906, 26, 336
• GCD of 920, 963, 31, 412
• GCD of 218, 718, 87, 810
• GCD of 531, 682, 56, 144
• GCD of 268, 892, 54, 205

1. What is the GCD of 164, 527, 53, 174?

GCD of 164, 527, 53, 174 is 1

2. Where do I get the detailed procedure to find GCD of 164, 527, 53, 174?

You can find a detailed procedure to find GCD of 164, 527, 53, 174 on our page.

3. How to find GCD of 164, 527, 53, 174 on a calculator?

You can find the GCD of 164, 527, 53, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.