16 m, 20 m and 24 m are the dimensions of a room.
16 m, 20 m and 24 m are the dimensions of a room. Find the length (in m) of the greatest possible scale to measure all dimensions exactly.
एक कमरे की लंबाई, चौड़ाई और ऊँचाई क्रमशः 16 m, 20 m और 24 m हैं। इन सभी आयामों को ठीक-ठीक मापने के लिए सबसे बड़ी संभव माप (मीटर में) ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
4
Given dimensions: 16 m, 20 m, 24 m
Prime factorization:
16 = $2^4$
20 = $2^2 \times 5$
24 = $2^3 \times 3$
Common factor = $2^2$
HCF = 4
Greatest possible scale = 4 m
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