The highest common factor of 70 and 245 is -

Options

A. 35
B. 55
C. 45
D. 65

Answer

To find the highest common factor (HCF) of 70 and 245 using the division method, we can follow these steps:

### Step 1: Identify the numbers
We need to find the HCF of the numbers 70 and 245.

### Step 2: Apply the Division Method
We start by dividing the larger number (245) by the smaller number (70).

\[ 245 \div 70 = 3 \quad \text{(quotient)} \]
\[ 70 \times 3 = 210 \quad \text{(product of quotient and divisor)} \]
\[ 245 - 210 = 35 \quad \text{(remainder)} \]

### Step 3: Repeat the Process
Now, we take the divisor (70) and divide it by the remainder (35).

\[ 70 \div 35 = 2 \quad \text{(quotient)} \]
\[ 35 \times 2 = 70 \quad \text{(product of quotient and divisor)} \]
\[ 70 - 70 = 0 \quad \text{(remainder)} \]

### Step 4: Determine the HCF
Since the remainder is now 0, the last non-zero remainder is the HCF. In this case, the last non-zero remainder is 35.

Thus, the highest common factor (HCF) of 70 and 245 is **35**.

### Final Answer
The highest common factor of 70 and 245 is **35**.

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