Question

Find the highest common factor (HCF) of the expressions:

9abc, 3b²c, and abc². What is the HCF?

Answer 1

To find the highest common factor (HCF) of the expressions 9abc, 3b²c, and abc², you need to factorize each expression and identify the common factors.

Step-by-step explanation:

To find the highest common factor (HCF) of the expressions 9abc, 3b²c, and abc², we need to find the common factors of all three expressions.

1. Expression 1: 9abc
2. Expression 2: 3b²c
3. Expression 3: abc²

To find the common factors, we need to factorize each expression.

1. Expression 1: 9abc = (3 × 3) × (a × b × c)
2. Expression 2: 3b²c = (3) × (b × b) × (c)
3. Expression 3: abc² = (a) × (b) × (c × c)

Now, we identify the common factors among the factorized expressions, which are (a, b, c).

The HCF of the given expressions is (a, b, c).