Question

. Four metal rods of lengths 78 cm, 104 cm,
117 cm and 169 cm are to be cut into
parts of equal lengths. Each part must be
as long as possible. What is the maximum
number of pieces that can be cut ?​

Answer 1

Answer:

36 pieces

Step-by-step explanation:

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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Answer 2

Hope this answer helps you.