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4. Can two numbers have \[\mathbf{16}\]as their HCF and\[\mathbf{380}\] as theirLCM? Give reason.
4. Can two numbers have \[\mathbf{16}\]as their HCF and\[\mathbf{380}\] as theirLCM? Give reason.
CBSE | Class 10 | Maths | RD Sharma | Real Numbers
4. Can two numbers have \[\mathbf{16}\]as their HCF and\[\mathbf{380}\] as theirLCM? Give reason.

Solution:

On dividing \[380\]by \[16\]we get,\[23\]as the quotient and\[12\]as the remainder.

Now,

since the LCM is not exactly divisible by the HCF its can be said that two numbers cannot have \[16\] as their HCF and\[380\]as their LCM.

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