GCD of 159, 108, 51, 719 Calculator

Given Input numbers are 159, 108, 51, 719

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 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 719

List of positive integer divisors of 719 that divides 719 without a remainder.

1, 719

Greatest Common Divisior

We found the divisors of 159, 108, 51, 719 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 108, 51, 719 is 1.

Therefore, GCD of numbers 159, 108, 51, 719 is 1

Given Input Data is 159, 108, 51, 719

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

Prime Factorization of 159 is 3 x 53

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

Prime Factorization of 51 is 3 x 17

Prime Factorization of 719 is 719

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, 108) = 5724

GCD(159, 108) = ( 159 x 108 ) / 5724

GCD(159, 108) = 17172 / 5724

GCD(159, 108) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 51

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

LCM(3, 51) = 51

GCD(3, 51) = ( 3 x 51 ) / 51

GCD(3, 51) = 153 / 51

GCD(3, 51) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 719

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

LCM(3, 719) = 2157

GCD(3, 719) = ( 3 x 719 ) / 2157

GCD(3, 719) = 2157 / 2157

GCD(3, 719) = 1

GCD of 159, 108, 51, 719 is 1

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1. What is the GCD of 159, 108, 51, 719?

GCD of 159, 108, 51, 719 is 1

2. Where do I get the detailed procedure to find GCD of 159, 108, 51, 719?

You can find a detailed procedure to find GCD of 159, 108, 51, 719 on our page.

3. How to find GCD of 159, 108, 51, 719 on a calculator?

You can find the GCD of 159, 108, 51, 719 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.