GCD of 159, 978, 561, 238 Calculator

Given Input numbers are 159, 978, 561, 238

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Greatest Common Divisior

We found the divisors of 159, 978, 561, 238 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 978, 561, 238 is 1.

Therefore, GCD of numbers 159, 978, 561, 238 is 1

Given Input Data is 159, 978, 561, 238

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 978 is 2 x 3 x 163

Prime Factorization of 561 is 3 x 11 x 17

Prime Factorization of 238 is 2 x 7 x 17

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(159, 978) = 51834

GCD(159, 978) = ( 159 x 978 ) / 51834

GCD(159, 978) = 155502 / 51834

GCD(159, 978) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 561

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

LCM(3, 561) = 561

GCD(3, 561) = ( 3 x 561 ) / 561

GCD(3, 561) = 1683 / 561

GCD(3, 561) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 238

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

LCM(3, 238) = 714

GCD(3, 238) = ( 3 x 238 ) / 714

GCD(3, 238) = 714 / 714

GCD(3, 238) = 1

GCD of 159, 978, 561, 238 is 1

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1. What is the GCD of 159, 978, 561, 238?

GCD of 159, 978, 561, 238 is 1

2. Where do I get the detailed procedure to find GCD of 159, 978, 561, 238?

You can find a detailed procedure to find GCD of 159, 978, 561, 238 on our page.

3. How to find GCD of 159, 978, 561, 238 on a calculator?

You can find the GCD of 159, 978, 561, 238 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.