GCD of 258, 208, 721, 712 Calculator

Given Input numbers are 258, 208, 721, 712

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

Divisors of 258

List of positive integer divisors of 258 that divides 258 without a remainder.

1, 2, 3, 6, 43, 86, 129, 258

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 258, 208, 721, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 258, 208, 721, 712 is 1.

Therefore, GCD of numbers 258, 208, 721, 712 is 1

Given Input Data is 258, 208, 721, 712

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

Prime Factorization of 258 is 2 x 3 x 43

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 721 is 7 x 103

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(258, 208) = 26832

GCD(258, 208) = ( 258 x 208 ) / 26832

GCD(258, 208) = 53664 / 26832

GCD(258, 208) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 721

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

LCM(2, 721) = 1442

GCD(2, 721) = ( 2 x 721 ) / 1442

GCD(2, 721) = 1442 / 1442

GCD(2, 721) = 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 258, 208, 721, 712 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 221, 787, 952, 129
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• GCD of 808, 275, 870, 134

1. What is the GCD of 258, 208, 721, 712?

GCD of 258, 208, 721, 712 is 1

2. Where do I get the detailed procedure to find GCD of 258, 208, 721, 712?

You can find a detailed procedure to find GCD of 258, 208, 721, 712 on our page.

3. How to find GCD of 258, 208, 721, 712 on a calculator?

You can find the GCD of 258, 208, 721, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.