GCD of 59, 226, 259, 971 Calculator

Given Input numbers are 59, 226, 259, 971

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

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 226

List of positive integer divisors of 226 that divides 226 without a remainder.

1, 2, 113, 226

Divisors of 259

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

1, 7, 37, 259

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Greatest Common Divisior

We found the divisors of 59, 226, 259, 971 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 59, 226, 259, 971 is 1.

Therefore, GCD of numbers 59, 226, 259, 971 is 1

Given Input Data is 59, 226, 259, 971

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

Prime Factorization of 59 is 59

Prime Factorization of 226 is 2 x 113

Prime Factorization of 259 is 7 x 37

Prime Factorization of 971 is 971

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(59, 226) = 13334

GCD(59, 226) = ( 59 x 226 ) / 13334

GCD(59, 226) = 13334 / 13334

GCD(59, 226) = 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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 971

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

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

GCD(1, 971) = 971 / 971

GCD(1, 971) = 1

GCD of 59, 226, 259, 971 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 616, 858, 967
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1. What is the GCD of 59, 226, 259, 971?

GCD of 59, 226, 259, 971 is 1

2. Where do I get the detailed procedure to find GCD of 59, 226, 259, 971?

You can find a detailed procedure to find GCD of 59, 226, 259, 971 on our page.

3. How to find GCD of 59, 226, 259, 971 on a calculator?

You can find the GCD of 59, 226, 259, 971 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.