three pieces of wood measuring 55m 49m and 63m long have to be divided into planks of equal length what is the greatest possible length of each plank
parisakura98pari:
Instead of 55 it should be a multiple of 7.......
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All wood pieces have to be divided into planks of equal length
⇒ the length of the plank should be the HCF of the length of wood pieces
55 = 5 x 11
49 = 7 x 7
63 = 7 x 9
HCF = 1
So 1 m is the greatest possible length of each plank.
If its 42 instead of 55 , then HCF = 7
and 7 m would be the greatest possible length of each plank.
⇒ the length of the plank should be the HCF of the length of wood pieces
55 = 5 x 11
49 = 7 x 7
63 = 7 x 9
HCF = 1
So 1 m is the greatest possible length of each plank.
If its 42 instead of 55 , then HCF = 7
and 7 m would be the greatest possible length of each plank.
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