Our Maths task was to find and identify the highest common factor between two contrasting numbers and record our findings as well as how we figured out the answer.
The highest common factor is the highest number that is the multiple of two different numbers.
First, we were given a list of different numbers to find the highest common factor. The numbers were divided into pairs to help us compare the values. The number list looks similar to this:
12 and 24
5 and 30
8 and 4
2 and 15
In our maths books, we worked out the highest common factor of all the numbers in our list. We found the highest common factor of two differing numbers by writing all the multiplication equations that equal those numbers.
For example, if the number was 12, the multiplication equations would be 1x12, 2x6 and 3x4. The multiplication equations are not allowed to switch (2x6, 6x2).
Once we found and wrote all the multiplication equations down, we found the biggest number in the multiplication equations for both numbers.
Take 8 and 4 as an example. The multiplication equations for 8 are 1x8 and 2x4. The multiplication equations for 4 are 1x4 and 2x4. The highest common factor for 8 and 4 is 4, because the number 4 occurs in both multiples of 8 and 4 and it is the highest value.
I enjoyed this activity because I learnt what highest common factors are and how to find and identify as well as the multiples between two different numbers.
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