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Example
Find the Highest Common Factor of 54, 72 and 150.
First we consider 54 and 72. The HCF for these two quantities is calculated as follows:
54) 72 (1 54 --------- 18) 54 (3 54 ------- 0 -------
The HCF is 18. Now we consider 18 and 150 and obtain the HCF for these two quantities. It will be obtained as follows.
18) 150 (8 144 --------- 6) 18 (3 18 ------- 0 -------
We observe that 6 is the highest common factor for these two quantities. That is, 6 is the HCF of the three given quantities.
The set of whole numbers also does not satisfy all our requirements as on observation, we find that it does not include negative numbers like -2, -7 and so on. To
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