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The lengths of three strings were 60m, 72m and 168  m.  Pieces of string of equal  length were cut from  the three strings.   Calculate  the  least number of pieces obtained. ​

User Uri Shtand
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Answer:

Total 25 strings each of 12 cm is obtained from the given strings.

Explanation:

The given length of the three strings are : 60 cm, 72 cm and 168 cm

On Prime Factorization of the given terms, we get:

60 = 2 x 2 x 3 x 5

72 = 2 x 2 x 2 x 3 x 3

168 = 2 x 2 x 2 x 3 x 7

The common factors to all these three terms is 2 x 2 x 3 = 12

So, from each string strings of length 12 cm can be cut.

Now, 60 ÷ 12 = 5

So, 5 strings of cut from this of equal length.

72 ÷ 12 = 6

So, 6 strings of cut from this of equal length.

168 ÷ 12 = 14

So, 14 strings of cut from this of equal length.

⇒Total number of strings of 12 cm = 5 + 6 + 14 = 25 strings

Hence, total 25 strings each of 12 cm is obtained from the given strings.

User JoshieSimmons
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