GCD of 665, 978, 174 Calculator

Given Input numbers are 665, 978, 174

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 978

List of positive integer divisors of 978 that divides 978 without a remainder.

1, 2, 3, 6, 163, 326, 489, 978

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 665, 978, 174 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 665, 978, 174 is 1.

Therefore, GCD of numbers 665, 978, 174 is 1

Given Input Data is 665, 978, 174

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 978 is 2 x 3 x 163

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(665, 978) = 650370

GCD(665, 978) = ( 665 x 978 ) / 650370

GCD(665, 978) = 650370 / 650370

GCD(665, 978) = 1

Step2:

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 665, 978, 174 is 1

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1. What is the GCD of 665, 978, 174?

GCD of 665, 978, 174 is 1

2. Where do I get the detailed procedure to find GCD of 665, 978, 174?

You can find a detailed procedure to find GCD of 665, 978, 174 on our page.

3. How to find GCD of 665, 978, 174 on a calculator?

You can find the GCD of 665, 978, 174 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.