GCD of 259, 238, 39, 712 Calculator

Given Input numbers are 259, 238, 39, 712

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 39

List of positive integer divisors of 39 that divides 39 without a remainder.

1, 3, 13, 39

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Greatest Common Divisior

We found the divisors of 259, 238, 39, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 238, 39, 712 is 1.

Therefore, GCD of numbers 259, 238, 39, 712 is 1

Given Input Data is 259, 238, 39, 712

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 238 is 2 x 7 x 17

Prime Factorization of 39 is 3 x 13

Prime Factorization of 712 is 2 x 2 x 2 x 89

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, 238) = 8806

GCD(259, 238) = ( 259 x 238 ) / 8806

GCD(259, 238) = 61642 / 8806

GCD(259, 238) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 39

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

LCM(7, 39) = 273

GCD(7, 39) = ( 7 x 39 ) / 273

GCD(7, 39) = 273 / 273

GCD(7, 39) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 259, 238, 39, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 953, 477, 40, 127
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• GCD of 243, 972, 43, 469
• GCD of 669, 785, 89, 329
• GCD of 258, 556, 27, 506

1. What is the GCD of 259, 238, 39, 712?

GCD of 259, 238, 39, 712 is 1

2. Where do I get the detailed procedure to find GCD of 259, 238, 39, 712?

You can find a detailed procedure to find GCD of 259, 238, 39, 712 on our page.

3. How to find GCD of 259, 238, 39, 712 on a calculator?

You can find the GCD of 259, 238, 39, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.