what is the greatest common factor between qrxy, pryz and rxyz
pls answer with explanation thx
Answers
Answer:
The greatest common factor is yr.
Step-by-step explanation: When you look at the groups of letters, you have qrxy, pryz and rxyz.
But first, in order to understand this, let's first define what a factor is.
A factor is a number that divides into another number exactly and without leaving a remainder. Meaning that to find the factor in each of these groups, the factor would have to be able to divide them perfectly
Now, in this case, you're looking for the Highest Common Factor. This is a good example of Highest Common Factor: If you have the numbers 6 and 15. The number 6 has the factors 1, 2 , 3 and 6 while 15 has the factors 1, 3, 5 and 15.
The highest common factor between them both is 3 because it is the factor that is common to them and can divide them both perfectly. And for clarity sake, there's a difference between a factor and a highest common factor. If you look at the solution above, 1 is also a factor but it is not the highest factor.
Therefore the highest factor would have the following characteristics:
- it would be common to them all
- it would be able to divide them all perfectly
- it would be highest possible factor
Back to your question, the highest common factor would be the letter(s) in these groups of letter that can perfectly divide all the groups of letters.
In the letters qrxy, pryz and rxyz, the letter y can divide the letters and give a result of: qrx, prz and rxz.
The letter r can also divide the letters and give a result of : qxy, pyz and xyz.
We can now say that they have two factors, y and r. Since they are letters you can combine them through multiplication to show they are factors. The highest/ greatest common factor would therefore be yr, since they are not numerical values and we can't determine which is greater
Hope this helped!
Answer:
what is the greatest common factor between qrxy, pryz and rxyz