Question

The length , breadth and height of a room are 768 cm, 576 cm and 832 cm respectively. find the longest tape which can measure the three dimensions of the room exactly.​

Answer 1

Step-by-step explanation:

25=5×5×37

825 = 3 \times 5 \times 5 \times 11825=3×5×5×11

so, \: heighest \: common \: factor \: is \: 5 \times 5 = 25so,heighestcommonfactoris5×5=25

therefore \: HCF \: of \: 725,925,825 \: is \: 25.thereforeHCFof725,925,825is25.

\therefore 25m is \: the \: longest \: tape \: measure \: which \: can \: measure \: all \: the \: dimensions.∴25m isthelongesttapemeasurewhichcanmeasureallthedimensions

Answer 2

Step-by-step explanation:

3, 5 and 5 are the common prime factors. Therefore, 75 cm is the longest tape which can measure the three dimensions of the room exactly.