Question

gr 6 maths hcf and lcm 1. The length, breadth and height of a room are 7 m 25 cm, 9 m 25 cm and 8 m 25 cm respectively. Determine the length of the largest tape which can measure the three dimensions of the room exactly. 2. Find the least number which when divided by 35, 56, 77 and 91 leaves remainder 7 in each case. 3. One side of a road is planted with trees 24 m apart. On the other side are lamps 32 m apart. If the first tree is opposite the first lamp, how far off is the next tree that has a lamp opposite to it? SHOULD WE USE HCF OR LCM IN THIS WORD PROBLEMS?

Answer 1

Answer:

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Step-by-step explanation:

Length of the room = 8m 25cm = 825 cm

Breadth of the room = 6m 75cm = 675 cm

Height of the room = 4m 50cm = 450 cm

Prime factorization of 825, 675 and 450 are as follows:

825 = 3×5×5×11

675 = 3×3×3×5×5

450 = 2×3×3×5×5

 

Common factors = 3×5×5

H.C.F. = 75

 

Hence, H.C.F. of 825, 675 and 450 is 75.

Therefore the length of the longest tap is 75 cm which can measure the three dimensions of the room exactly.