GCD of 174, 876, 739, 806 Calculator

Given Input numbers are 174, 876, 739, 806

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 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 739

List of positive integer divisors of 739 that divides 739 without a remainder.

1, 739

Divisors of 806

List of positive integer divisors of 806 that divides 806 without a remainder.

1, 2, 13, 26, 31, 62, 403, 806

Greatest Common Divisior

We found the divisors of 174, 876, 739, 806 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 876, 739, 806 is 1.

Therefore, GCD of numbers 174, 876, 739, 806 is 1

Given Input Data is 174, 876, 739, 806

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 876 is 2 x 2 x 3 x 73

Prime Factorization of 739 is 739

Prime Factorization of 806 is 2 x 13 x 31

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, 876) = 25404

GCD(174, 876) = ( 174 x 876 ) / 25404

GCD(174, 876) = 152424 / 25404

GCD(174, 876) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 739

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

LCM(6, 739) = 4434

GCD(6, 739) = ( 6 x 739 ) / 4434

GCD(6, 739) = 4434 / 4434

GCD(6, 739) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 806

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

LCM(1, 806) = 806

GCD(1, 806) = ( 1 x 806 ) / 806

GCD(1, 806) = 806 / 806

GCD(1, 806) = 1

GCD of 174, 876, 739, 806 is 1

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1. What is the GCD of 174, 876, 739, 806?

GCD of 174, 876, 739, 806 is 1

2. Where do I get the detailed procedure to find GCD of 174, 876, 739, 806?

You can find a detailed procedure to find GCD of 174, 876, 739, 806 on our page.

3. How to find GCD of 174, 876, 739, 806 on a calculator?

You can find the GCD of 174, 876, 739, 806 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.