four metal rods of length 78cm,104cm,117cm and 169cm are to be cut into two parts of equal length each path must be as long as possible what is the maximum number of pieces that can be cut
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Given, length of four metal roads are 78, 104, 117 and 169 cm.
Now,
78 = 13 x 2 x 3,
104 = 13 x 2 x 2 x 2,
117 = 13 x 3 x 3,
169 = 13 x 13
Length of each piece of rod as long as possible, HCF = 13 CM
∴ Number of piece = 6 + 8 + 9 + 13 = 36
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