GCD Calculator GCD Calculator Gcd is stands for the greatest common divisor that is define as the highest value among the numbers that is a factor of these numbers. If there are two numbers then their gcd is expressed as the highest factor of these two number . Factor is define as the number that divide the numbers completely for which it is calculated. Gcd is used to explain the highest number that divide the numbers without any remainder means remainder will be zero when divide with the highest common factor. There are several examples that define the gcd as if there are two numbers as 6 and 12 then first of all calculate the prime factorization of these number as 6 is expressed as in form of prime numbers as 6 = 2 * 3 and same as 12 is shown in the form of prime factors as 12 = 2 * 2 * 3 and we can see that both the values
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have two common numbers that are 2* 3 that is equal to 6 that means the highest common factor or gcd for 6 and 12 is 6 and it is also describe as we calculate all the factors of the 6 and 12 separately and then among all the common factors find the highest common factor as 6 have 1 ,2 ,3 ,6 and 12 have 1 ,2, 3, 4, 6, 12 and in all the common factors 1, 2, 3 ,4 ,6 6 is the greatest common factor that is also called as gcd. There is an online tool that is known as the gcd calculator that is used to fine the greatest common factor in a very simple way. User of calculator only enter the numbers in the given text box for which they want to calculate the gcd and after entering the numbers click on the submission button ,gcd calculator calculates the greatest common factor accurately and in very short period of time .It works very efficiently and effectively. Internally gcd calculator uses all the rules of calculation for finding the greatest common factor of given numbers. We are defining some of the basic rules for calculation of the gcd as follows: Rule (1): According to this rule if we want to find the gcd for two numbers then divide the greater number by the smaller one. Then remainder of this division work as the divisor and smaller number becomes the dividend and remainder of this division work as the divisor in the next division and so on. Rule (2): In this rule for finding the gcd of given two numbers greater number is written in the sum of smaller number and the remaining part as if we want to find the gcd of 20 and 28 then 28 is written as 28 = 20 (1) + 8 that is also expressed as 8 is the remainder part when 28 is divided by 20.
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In the next step smaller number is written in the as the multiple of remainder part as 20 = 2 (8) + 4 that is define as 8 divides the 20 and gives the 4 as the remainder. Again 8 is written as the multiple of 4 and other part define the remainder 8 = 2 (4) + 0 that means remainder will be zero when 4 divides the 8 that means the gcd for the 20 and 28 is 4. Steps to use Gcd Calculator: Step 1: Enter the value of first number. Step 2: Enter the value of second number. Step 3: Click on the “solve” tab, the text box shows the value of GCD. Let us have an example to understand Gcd Calculator better: Step 1: Enter the value of first number ‘15’. Step 2: Enter the value of second number ‘25’. Step 3: Click on the “solve” tab, the text box shows the value of GCD = 5.
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