Gujarat BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
Question
Two numbers have $12$ as their $HCF$ and $350$ as their $LCM$ (True/ False).
✓
Answer
False.
$HCF$ of two numbers $= 12$
$LCM$ of two numbers $= 350$
$\frac{\text{LCM}}{\text{HCF}}=\frac{350}{12}=\frac{175}{6}$
The result of $\frac{\text{LCM}}{\text{HCF}}$ is not a natural number so we can say that two number have not $12$ as their $HCF$ and $350$ as their $LCM$.
Thus, the given statement is false.
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