GCD of 904, 755, 31, 174 Calculator

Given Input numbers are 904, 755, 31, 174

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

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 755

List of positive integer divisors of 755 that divides 755 without a remainder.

1, 5, 151, 755

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

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 904, 755, 31, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 904, 755, 31, 174 is 1.

Therefore, GCD of numbers 904, 755, 31, 174 is 1

Given Input Data is 904, 755, 31, 174

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

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 755 is 5 x 151

Prime Factorization of 31 is 31

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(904, 755) = 682520

GCD(904, 755) = ( 904 x 755 ) / 682520

GCD(904, 755) = 682520 / 682520

GCD(904, 755) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 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 904, 755, 31, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 752, 82, 937
• GCD of 755, 651, 78, 890
• GCD of 358, 282, 29, 537
• GCD of 159, 235, 61, 721
• GCD of 438, 368, 49, 874

1. What is the GCD of 904, 755, 31, 174?

GCD of 904, 755, 31, 174 is 1

2. Where do I get the detailed procedure to find GCD of 904, 755, 31, 174?

You can find a detailed procedure to find GCD of 904, 755, 31, 174 on our page.

3. How to find GCD of 904, 755, 31, 174 on a calculator?

You can find the GCD of 904, 755, 31, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.