GCD of 289, 839, 765, 116 Calculator

Given Input numbers are 289, 839, 765, 116

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

Divisors of 289

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

1, 17, 289

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Greatest Common Divisior

We found the divisors of 289, 839, 765, 116 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 839, 765, 116 is 1.

Therefore, GCD of numbers 289, 839, 765, 116 is 1

Given Input Data is 289, 839, 765, 116

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 839 is 839

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 116 is 2 x 2 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(289, 839) = 242471

GCD(289, 839) = ( 289 x 839 ) / 242471

GCD(289, 839) = 242471 / 242471

GCD(289, 839) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 765

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

LCM(1, 765) = 765

GCD(1, 765) = ( 1 x 765 ) / 765

GCD(1, 765) = 765 / 765

GCD(1, 765) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 116

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

LCM(1, 116) = 116

GCD(1, 116) = ( 1 x 116 ) / 116

GCD(1, 116) = 116 / 116

GCD(1, 116) = 1

GCD of 289, 839, 765, 116 is 1

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1. What is the GCD of 289, 839, 765, 116?

GCD of 289, 839, 765, 116 is 1

2. Where do I get the detailed procedure to find GCD of 289, 839, 765, 116?

You can find a detailed procedure to find GCD of 289, 839, 765, 116 on our page.

3. How to find GCD of 289, 839, 765, 116 on a calculator?

You can find the GCD of 289, 839, 765, 116 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.