GCD of 80, 289, 689, 159 Calculator

Given Input numbers are 80, 289, 689, 159

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 159

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

1, 3, 53, 159

Greatest Common Divisior

We found the divisors of 80, 289, 689, 159 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 289, 689, 159 is 1.

Therefore, GCD of numbers 80, 289, 689, 159 is 1

Given Input Data is 80, 289, 689, 159

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 289 is 17 x 17

Prime Factorization of 689 is 13 x 53

Prime Factorization of 159 is 3 x 53

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(80, 289) = 23120

GCD(80, 289) = ( 80 x 289 ) / 23120

GCD(80, 289) = 23120 / 23120

GCD(80, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 159

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

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

GCD(1, 159) = 159 / 159

GCD(1, 159) = 1

GCD of 80, 289, 689, 159 is 1

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1. What is the GCD of 80, 289, 689, 159?

GCD of 80, 289, 689, 159 is 1

2. Where do I get the detailed procedure to find GCD of 80, 289, 689, 159?

You can find a detailed procedure to find GCD of 80, 289, 689, 159 on our page.

3. How to find GCD of 80, 289, 689, 159 on a calculator?

You can find the GCD of 80, 289, 689, 159 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.