To find the HCF (Highest Common Factor) of 38 and 95 using the common division method, we will follow these steps:
1. Begin by dividing the larger number, 95, by the smaller number, 38.
95 ÷ 38 = 2 with a remainder of 19.
2. Next, divide the previous divisor, 38, by the remainder, 19.
38 ÷ 19 = 2 with no remainder.
3. Now, divide the previous divisor, 19, by the remainder, which is 0.
Since the remainder is 0, we stop here.
4. The last non-zero remainder obtained is the HCF of 38 and 95.
Therefore, the HCF of 38 and 95 is 19.
By using the common division method, we have determined that the highest common factor of 38 and 95 is 19.