GCD of 174, 836, 920, 129 Calculator

Given Input numbers are 174, 836, 920, 129

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 836

List of positive integer divisors of 836 that divides 836 without a remainder.

1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

Divisors of 920

List of positive integer divisors of 920 that divides 920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 174, 836, 920, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 836, 920, 129 is 1.

Therefore, GCD of numbers 174, 836, 920, 129 is 1

Given Input Data is 174, 836, 920, 129

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 836 is 2 x 2 x 11 x 19

Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23

Prime Factorization of 129 is 3 x 43

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, 836) = 72732

GCD(174, 836) = ( 174 x 836 ) / 72732

GCD(174, 836) = 145464 / 72732

GCD(174, 836) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 920

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

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

GCD(2, 920) = 1840 / 920

GCD(2, 920) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 129

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

LCM(2, 129) = 258

GCD(2, 129) = ( 2 x 129 ) / 258

GCD(2, 129) = 258 / 258

GCD(2, 129) = 1

GCD of 174, 836, 920, 129 is 1

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1. What is the GCD of 174, 836, 920, 129?

GCD of 174, 836, 920, 129 is 1

2. Where do I get the detailed procedure to find GCD of 174, 836, 920, 129?

You can find a detailed procedure to find GCD of 174, 836, 920, 129 on our page.

3. How to find GCD of 174, 836, 920, 129 on a calculator?

You can find the GCD of 174, 836, 920, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.