GCD of 778, 239, 17, 171 Calculator

Given Input numbers are 778, 239, 17, 171

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

Divisors of 778

List of positive integer divisors of 778 that divides 778 without a remainder.

1, 2, 389, 778

Divisors of 239

List of positive integer divisors of 239 that divides 239 without a remainder.

1, 239

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 778, 239, 17, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 778, 239, 17, 171 is 1.

Therefore, GCD of numbers 778, 239, 17, 171 is 1

Given Input Data is 778, 239, 17, 171

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

Prime Factorization of 778 is 2 x 389

Prime Factorization of 239 is 239

Prime Factorization of 17 is 17

Prime Factorization of 171 is 3 x 3 x 19

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(778, 239) = 185942

GCD(778, 239) = ( 778 x 239 ) / 185942

GCD(778, 239) = 185942 / 185942

GCD(778, 239) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 778, 239, 17, 171 is 1

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1. What is the GCD of 778, 239, 17, 171?

GCD of 778, 239, 17, 171 is 1

2. Where do I get the detailed procedure to find GCD of 778, 239, 17, 171?

You can find a detailed procedure to find GCD of 778, 239, 17, 171 on our page.

3. How to find GCD of 778, 239, 17, 171 on a calculator?

You can find the GCD of 778, 239, 17, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.