GCD of 174, 334, 36, 781 Calculator

Given Input numbers are 174, 334, 36, 781

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 334

List of positive integer divisors of 334 that divides 334 without a remainder.

1, 2, 167, 334

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 781

List of positive integer divisors of 781 that divides 781 without a remainder.

1, 11, 71, 781

Greatest Common Divisior

We found the divisors of 174, 334, 36, 781 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 334, 36, 781 is 1.

Therefore, GCD of numbers 174, 334, 36, 781 is 1

Given Input Data is 174, 334, 36, 781

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 334 is 2 x 167

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 781 is 11 x 71

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, 334) = 29058

GCD(174, 334) = ( 174 x 334 ) / 29058

GCD(174, 334) = 58116 / 29058

GCD(174, 334) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 781

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

LCM(2, 781) = 1562

GCD(2, 781) = ( 2 x 781 ) / 1562

GCD(2, 781) = 1562 / 1562

GCD(2, 781) = 1

GCD of 174, 334, 36, 781 is 1

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1. What is the GCD of 174, 334, 36, 781?

GCD of 174, 334, 36, 781 is 1

2. Where do I get the detailed procedure to find GCD of 174, 334, 36, 781?

You can find a detailed procedure to find GCD of 174, 334, 36, 781 on our page.

3. How to find GCD of 174, 334, 36, 781 on a calculator?

You can find the GCD of 174, 334, 36, 781 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.