GCD of 174, 108, 40, 529 Calculator

Given Input numbers are 174, 108, 40, 529

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 529

List of positive integer divisors of 529 that divides 529 without a remainder.

1, 23, 529

Greatest Common Divisior

We found the divisors of 174, 108, 40, 529 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 108, 40, 529 is 1.

Therefore, GCD of numbers 174, 108, 40, 529 is 1

Given Input Data is 174, 108, 40, 529

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 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 529 is 23 x 23

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, 108) = 3132

GCD(174, 108) = ( 174 x 108 ) / 3132

GCD(174, 108) = 18792 / 3132

GCD(174, 108) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 40

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

LCM(6, 40) = 120

GCD(6, 40) = ( 6 x 40 ) / 120

GCD(6, 40) = 240 / 120

GCD(6, 40) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 529

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

LCM(2, 529) = 1058

GCD(2, 529) = ( 2 x 529 ) / 1058

GCD(2, 529) = 1058 / 1058

GCD(2, 529) = 1

GCD of 174, 108, 40, 529 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 502, 56, 635
• GCD of 533, 130, 92, 530
• GCD of 653, 277, 84, 353
• GCD of 916, 947, 16, 590
• GCD of 526, 531, 47, 962

1. What is the GCD of 174, 108, 40, 529?

GCD of 174, 108, 40, 529 is 1

2. Where do I get the detailed procedure to find GCD of 174, 108, 40, 529?

You can find a detailed procedure to find GCD of 174, 108, 40, 529 on our page.

3. How to find GCD of 174, 108, 40, 529 on a calculator?

You can find the GCD of 174, 108, 40, 529 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.