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How to calculate MDC, find out what MDC is and learn how to calculate it
In mathematics there are several calculations, some different from the others and this sometimes makes it difficult to remember how to do each of them, so in this article we will teach you the best way to calculate the MDC
What is MDC?
GCD is the Greatest Common Divisor of two or more integers, that is, you have the largest number that can be divisible by two or more problem numbers.
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Let's give an example so you can better understand how calculate MDC.
Example 1 – How to calculate MDC
We will teach you how to calculate the MDC in a very simple way, so that there is no doubt not one, to calculate the MDC in this simpler way, you need to know how to calculate the MMC.
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To begin our example, we will use the numbers 16 and 24.
In this first part of the calculation, we have to take the MMC of 16 and 24, let's do this separately, do it as in the example below.
In this second part of the account after calculating the MMC of 16 and 24, you must take the numbers cousins that are the same in two problems, which in this case is 2, 2, 2, in last line we have a 2 and a 3, as they are different numbers, we don't use them, that's why they are not in bold.
At last part of the calculation, we will discover the GCD of 16 and 24 and to do this we will have to multiply the prime numbers that we get with the LCM, that is 2 x 2 x 2, that is, the GCD of 16, 24 = 8
16 | 2 24 | 2
8 | 2 12 | 2
4 | 2 6 | 2
2 | 2 3 | 3
1 | 1 |
2 x 2 x 2 = 8
This account works not only for two numbers but also for more numbers, we will show you in a new example how it works.
Example 2 – How to calculate MDC
In this example we will use three numbers, they are 16, 24, 32
To start, let's do the same way as in the example above, let's take the LMC of each of the numbers.
After taking the MMC of all the numbers, we must take all the prime numbers that are equal to multiply them, as in the example above, we must stop when we find a different number, which in this case is 3. Or that is, the GCD of 16, 24, 32 is equal to 8
16 | 2 24 | 2 32 | 2
8 | 2 12 | 2 16 | 2
4 | 2 6 | 2 8 | 2
2 | 2 3 | 3 4 | 2
1 | 1 | 2 | 2
1
2 x 2 x 2 = 8
Calculating MDC using MMC
When searching online, we noticed that the way MDC is being taught is a little more complicated, so we decided to teach it the most easy possible, which is to find the MDC using the MMC, this way it is much easier not to get lost in the math and find the correct result.
You can use this form with two or more numbers, no matter the quantity, you will be able to reach the MDC of the numbers you need.
