GCD of 726, 933, 463, 258 Calculator

Given Input numbers are 726, 933, 463, 258

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

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Divisors of 258

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

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

Greatest Common Divisior

We found the divisors of 726, 933, 463, 258 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 726, 933, 463, 258 is 1.

Therefore, GCD of numbers 726, 933, 463, 258 is 1

Given Input Data is 726, 933, 463, 258

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

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 933 is 3 x 311

Prime Factorization of 463 is 463

Prime Factorization of 258 is 2 x 3 x 43

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(726, 933) = 225786

GCD(726, 933) = ( 726 x 933 ) / 225786

GCD(726, 933) = 677358 / 225786

GCD(726, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 463

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

LCM(3, 463) = 1389

GCD(3, 463) = ( 3 x 463 ) / 1389

GCD(3, 463) = 1389 / 1389

GCD(3, 463) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 258

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

LCM(1, 258) = 258

GCD(1, 258) = ( 1 x 258 ) / 258

GCD(1, 258) = 258 / 258

GCD(1, 258) = 1

GCD of 726, 933, 463, 258 is 1

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• GCD of 308, 290, 606, 906
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1. What is the GCD of 726, 933, 463, 258?

GCD of 726, 933, 463, 258 is 1

2. Where do I get the detailed procedure to find GCD of 726, 933, 463, 258?

You can find a detailed procedure to find GCD of 726, 933, 463, 258 on our page.

3. How to find GCD of 726, 933, 463, 258 on a calculator?

You can find the GCD of 726, 933, 463, 258 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.