GCD of 113, 976, 259 Calculator

Given Input numbers are 113, 976, 259

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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 113, 976, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 976, 259 is 1.

Therefore, GCD of numbers 113, 976, 259 is 1

Given Input Data is 113, 976, 259

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

Prime Factorization of 113 is 113

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

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(113, 976) = 110288

GCD(113, 976) = ( 113 x 976 ) / 110288

GCD(113, 976) = 110288 / 110288

GCD(113, 976) = 1

Step2:

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 113, 976, 259 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 332, 251, 698
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• GCD of 613, 433, 201
• GCD of 568, 343, 793
• GCD of 737, 480, 891

1. What is the GCD of 113, 976, 259?

GCD of 113, 976, 259 is 1

2. Where do I get the detailed procedure to find GCD of 113, 976, 259?

You can find a detailed procedure to find GCD of 113, 976, 259 on our page.

3. How to find GCD of 113, 976, 259 on a calculator?

You can find the GCD of 113, 976, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.