GCD of 665, 393, 742, 173 Calculator

Given Input numbers are 665, 393, 742, 173

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

Divisors of 665

List of positive integer divisors of 665 that divides 665 without a remainder.

1, 5, 7, 19, 35, 95, 133, 665

Divisors of 393

List of positive integer divisors of 393 that divides 393 without a remainder.

1, 3, 131, 393

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 173

List of positive integer divisors of 173 that divides 173 without a remainder.

1, 173

Greatest Common Divisior

We found the divisors of 665, 393, 742, 173 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 393, 742, 173 is 1.

Therefore, GCD of numbers 665, 393, 742, 173 is 1

Given Input Data is 665, 393, 742, 173

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

Prime Factorization of 665 is 5 x 7 x 19

Prime Factorization of 393 is 3 x 131

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 173 is 173

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(665, 393) = 261345

GCD(665, 393) = ( 665 x 393 ) / 261345

GCD(665, 393) = 261345 / 261345

GCD(665, 393) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 742

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

LCM(1, 742) = 742

GCD(1, 742) = ( 1 x 742 ) / 742

GCD(1, 742) = 742 / 742

GCD(1, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 173

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

LCM(1, 173) = 173

GCD(1, 173) = ( 1 x 173 ) / 173

GCD(1, 173) = 173 / 173

GCD(1, 173) = 1

GCD of 665, 393, 742, 173 is 1

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1. What is the GCD of 665, 393, 742, 173?

GCD of 665, 393, 742, 173 is 1

2. Where do I get the detailed procedure to find GCD of 665, 393, 742, 173?

You can find a detailed procedure to find GCD of 665, 393, 742, 173 on our page.

3. How to find GCD of 665, 393, 742, 173 on a calculator?

You can find the GCD of 665, 393, 742, 173 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.