If a and b are positive integers then `(HCF(a,b) times LCM (a,b))/(ab)`=………..

Answer

To solve the problem, we need to evaluate the expression \((HCF(a,b) \times LCM(a,b)) / (a \times b)\).

### Step-by-Step Solution:

1. **Understand the relationship between HCF and LCM**:
We know that for any two integers \(a\) and \(b\):
\[ HCF(a, b) \times LCM(a, b) = a \times b \]

2. **Substitute the relationship into the expression**:
We can substitute the relationship from step 1 into our expression:
\[ \frac{HCF(a, b) \times LCM(a, b)}{a \times b} = \frac{a \times b}{a \times b} \]

3. **Simplify the expression**:
Now, simplifying the right side:
\[ \frac{a \times b}{a \times b} = 1 \]

4. **Conclusion**:
Therefore, the value of the expression \((HCF(a,b) \times LCM(a,b)) / (a \times b)\) is:
\[ 1 \]

### Final Answer:
\[ 1 \]