Question

the length breadth and height of a room are 856 25 cm and 475 respectively find the length of the longest rod that can measure the dimensions of groom exactly dimension of exactly​

Answer 1

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.

Answer 2

Answer:

Please refer the image