Question

Two logs of wood 12 m and 18 m long are to be cut into small pieces of equal lengths.what will be the maximum lenght of each piece?​

Answer 1

Answer:

Maximun length is 6

Step-by-step explanation:

Given Problem:

Two logs of wood 12 m and 18 m long are to be cut into small pieces of equal lengths.what will be the maximum lenght of each piece?​

Solution:

To Find:

The maximum lenght of each piece.

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Method:

Step 1:

$\sf Calculate\; the\; H.C.F\; of\; 12\; and\; 18.\\\\\ 12 = 2\times2\times3\\\\ 18 = 2\times3\times3$

Step 2:

$\sf List\;the\;both\;number's\;prime\;factors\;in\;a\;list.\\\\\ So,\;The\;prime\;factors\;are\;2\;and\;3:\\\\\\HCF = 2 \times 3 = 6$

Hence,

The maximum length is 6.