The maximum possible length of a scale that can be used to measure
the boards of lengths 9m, 4 m 5 cm, 14 m 40 cm exactly is?
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ʜᴇʀᴇ ɪs ʏᴏᴜʀ ᴀɴsᴡᴇʀ
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length which to be measured are 3m;5m,10cm;and90cm
3m=300cm
5m 10cm=510cm
90cm
∴ Required length of the scale is H.C.F of 300cm,510cm,90cm
300=2×2×3××5×5
510=2×3×5×17
90=2×3×3×5
HCF of the numbers = 2×3×5
= 30
The greatest possible length of a scale that can be used is 30cm
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ʜᴏᴘᴇ ɪᴛ ᴡɪʟʟ ʜᴇʟᴘ ᴜ
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