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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.
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Q1: Find three positive numbers whose sum is 54 and whose product is as large as possible.
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