Find the HCF of 55 and 210 . express it as a linear combinaton of 55 and 210, i.e. HCF of 55 and 210= 210a +55b, for some a andb

Explanation

To find the HCF (Highest Common Factor) of 55 and 210 and express it as a linear combination of 55 and 210, we can follow these steps:

### Step 1: Apply the Euclidean Algorithm
To find the HCF of 55 and 210, we will use the Euclidean algorithm, which involves repeated division.

1. Divide 210 by 55:
\[
210 \div 55 = 3 \quad \text{(quotient)}
...