GCD of 103, 816, 959, 259 Calculator

Given Input numbers are 103, 816, 959, 259

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 103, 816, 959, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 816, 959, 259 is 1.

Therefore, GCD of numbers 103, 816, 959, 259 is 1

Given Input Data is 103, 816, 959, 259

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

Prime Factorization of 103 is 103

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 959 is 7 x 137

Prime Factorization of 259 is 7 x 37

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(103, 816) = 84048

GCD(103, 816) = ( 103 x 816 ) / 84048

GCD(103, 816) = 84048 / 84048

GCD(103, 816) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 959

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

LCM(1, 959) = 959

GCD(1, 959) = ( 1 x 959 ) / 959

GCD(1, 959) = 959 / 959

GCD(1, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 103, 816, 959, 259 is 1

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1. What is the GCD of 103, 816, 959, 259?

GCD of 103, 816, 959, 259 is 1

2. Where do I get the detailed procedure to find GCD of 103, 816, 959, 259?

You can find a detailed procedure to find GCD of 103, 816, 959, 259 on our page.

3. How to find GCD of 103, 816, 959, 259 on a calculator?

You can find the GCD of 103, 816, 959, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.