### Examples

**Example 1:** Find the HCF of 18, 27 and 36.

**Solution:**

Divide the given numbers with least common prime number.

Keep dividing until common factor is present.

So, list of divisors = 3, 3

Here, we multiply all these divisors to calculate the HCF.

Therefore, HCF(18, 27, 36) = 9.
**Example 2:** Find the HCF of 16, 24 and 32.

**Solution:**

Divide the given numbers with least common prime number.

Keep dividing until common factor is present.

So, list of divisors = 2, 2, 2

Here, we multiply all these divisors to calculate the HCF.

Therefore, HCF(16, 24, 32) = 8.
**Example 3:** Find the HCF of 9, 12 and 15.

**Solution:**

Divide the given numbers with least common prime number.

Keep dividing until common factor is present.

So, list of divisors = 3

Here, we multiply all these divisors to calculate the HCF.

Therefore, HCF(9, 12, 15) = 3.

### Exercise

**1.** HCF(18,27,36) = 9

**2.** HCF(18, 24, 30) = 6

**3.** HCF(50, 75, 100) = 25

**4.** HCF(14,21,28) = 7

**5.** HCF(10,20,30) = 10

**6.** HCF(15,25,35) = 5

**7.** HCF(6,7,21) = 1

**8.** HCF(72, 96, 120) = 24

**9.** HCF(88, 110, 132) = 44

**10.** HCF(80,120,160) = 40