GCD of 179, 854, 80, 174 Calculator

Given Input numbers are 179, 854, 80, 174

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

Divisors of 179

List of positive integer divisors of 179 that divides 179 without a remainder.

1, 179

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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 179, 854, 80, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 179, 854, 80, 174 is 1.

Therefore, GCD of numbers 179, 854, 80, 174 is 1

Given Input Data is 179, 854, 80, 174

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

Prime Factorization of 179 is 179

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(179, 854) = 152866

GCD(179, 854) = ( 179 x 854 ) / 152866

GCD(179, 854) = 152866 / 152866

GCD(179, 854) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 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 179, 854, 80, 174 is 1

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1. What is the GCD of 179, 854, 80, 174?

GCD of 179, 854, 80, 174 is 1

2. Where do I get the detailed procedure to find GCD of 179, 854, 80, 174?

You can find a detailed procedure to find GCD of 179, 854, 80, 174 on our page.

3. How to find GCD of 179, 854, 80, 174 on a calculator?

You can find the GCD of 179, 854, 80, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.