The length, breadth and height of a room are 12m, 15m and 18m respectively Determine the length of longest - Maths - Playing with Numbers

Question

The length, breadth and height of a room are 12m, 15m and 18m
respectively Determine the length of longest stick that can measure
all the dimensions of the room in exact number of times

Ankita Agarwal · Accepted Answer

Dear Student,

The longest length of stick that can measure all dimensions of the room is the Highest common factor HCF of it's length, Breadth, height
Now, HCF of 12, 15 and 18Prime factorization of 12 = 3×2×2Prime factorization of 15 =3×5Prime factorization of 18 =3×3×2HCF = 3The length of longest stick that can measure all the dimensions of the room in exact number of times is 3 m

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The length, breadth and height of a room are 12m, 15m and 18m respectively. Determine the length of longest stick that can measure all the dimensions of the room in exact number of times