GCD of 259, 133, 63, 886 Calculator

Given Input numbers are 259, 133, 63, 886

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

Divisors of 259

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

1, 7, 37, 259

Divisors of 133

List of positive integer divisors of 133 that divides 133 without a remainder.

1, 7, 19, 133

Divisors of 63

List of positive integer divisors of 63 that divides 63 without a remainder.

1, 3, 7, 9, 21, 63

Divisors of 886

List of positive integer divisors of 886 that divides 886 without a remainder.

1, 2, 443, 886

Greatest Common Divisior

We found the divisors of 259, 133, 63, 886 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 133, 63, 886 is 1.

Therefore, GCD of numbers 259, 133, 63, 886 is 1

Given Input Data is 259, 133, 63, 886

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 133 is 7 x 19

Prime Factorization of 63 is 3 x 3 x 7

Prime Factorization of 886 is 2 x 443

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(259, 133) = 4921

GCD(259, 133) = ( 259 x 133 ) / 4921

GCD(259, 133) = 34447 / 4921

GCD(259, 133) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 63

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

LCM(7, 63) = 63

GCD(7, 63) = ( 7 x 63 ) / 63

GCD(7, 63) = 441 / 63

GCD(7, 63) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 886

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

LCM(7, 886) = 6202

GCD(7, 886) = ( 7 x 886 ) / 6202

GCD(7, 886) = 6202 / 6202

GCD(7, 886) = 1

GCD of 259, 133, 63, 886 is 1

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1. What is the GCD of 259, 133, 63, 886?

GCD of 259, 133, 63, 886 is 1

2. Where do I get the detailed procedure to find GCD of 259, 133, 63, 886?

You can find a detailed procedure to find GCD of 259, 133, 63, 886 on our page.

3. How to find GCD of 259, 133, 63, 886 on a calculator?

You can find the GCD of 259, 133, 63, 886 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.