Calculator LCM and GCD
LCM and GCD Calculator is an application that simulates the work of an advanced calculator.
- Actually, the calculator has only one function: decomposition of numbers into LCM and GCD for two or three numbers.
- Additionally, the calculator can count fractional numbers: you can reduce fractions to a common denominator, or reduce them.
Before describing in detail the purpose of the calculator, you need to figure out what the NOC and GCD are. So: the abbreviation GCD means the wording "greatest common divisor", then LCM, respectively, stands for "least common multiple". What does all of this mean? In turn, the wording of the GCD means the largest natural number by which the original numbers are divided without a remainder. LCM is, respectively, the smallest natural number that can be divided without a remainder. It turns out that the calculator is designed to decompose several numbers into the greatest common divisor and the least common multiple.
For simplicity, or to check that a number can be divided by another number, you can use some signs. For example, to determine if a number can be divided by two, you need to pay attention to the last digit of the existing number (if it is even). For example, the numbers 0, 2, 4, 6, 8 are divisible by two without problems, since they are even. That is, the numbers 28, 408, 542, 650, 230, 24, 88 and so on are easily divisible by two. The number, for example, 19 - no longer exists.
The principle of dividing by three is somewhat different: it is necessary to take the addition of the total number as a rule in order to determine whether the final number will be divisible by three or not. For example, take the number 56898 and determine whether it will be divisible by 3. To do this, you need to sequentially add the sum of the individual numbers (5 + 6 + 8 + 9 + 8 = 36). Total 36 can be divided by 3 (we get 12). This means that the number 56898 can also be divided by 3, only according to a more complex algorithm.
The calculator allows you to avoid such complex calculations and give information immediately on the factor of entering numbers into the corresponding window (there are signs of dividing numbers by 4, 5, 6, 7, 8, 9, and so on, which is somewhat tiresome for manual analysis, although , in principle, you can limit yourself to an even sign and an odd one using the example of two and three. That is, the principle does not change much except for the five).
The criterion for determining divisibility for five is quite simple: you need to look at the original number and the last digit of it (if the digit is zero, or five, the final number can be divided by 5). For example, there is a number 6905 and there is a number 4500. Both of them in the end can be divided by 5. And there is a number 4024, you cannot divide it into five.
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