Question

Find the HCF and LCM of
861, 1353

Answer 1

The given numbers are 861 and 1353.

We have:

$$\begin{gathered} \begin{array}{l}3\overline{)861}\\ \text{7}\overline{)287}\\ \text{41}\overline{)41}\end{array} \\ \overline{)1} \end{gathered}$$$$\begin{gathered} \begin{array}{l}3\overline{)1353}\\ \text{11}\overline{)451}\\ \text{41}\overline{)41}\end{array} \\ \overline{)1} \end{gathered}$$

Now, we have:

861 = 3 × 41 × 7
1353 = 41 × 11 × 3

∴ HCF = 41 × 3 = 123
Also, LCM = 41 × 3 × 11 × 7 = 9471