
Example: Find the HCF of 12a^{2}b^{2}, 16a^{3}b^{2},
24a^{4}b^{3}c^{2}. Solution: Break each monomials into the simplest numerical and literal factors. 12a^{2}b^{2} = 2 * 2 * 3 * a * a * b * b 16a^{3}b^{2} = 2 * 2 * 2 * 2 * a * a * a * b * b 24a^{4}b^{3}c^{2} = 2 * 2 * 2 * 3 * a * a * a * a * b * b * b * c * c Highest numerical factor that divides each monomial = 2 * 2 = 4 Highest literal factor that divides each monomial = a * a * b * b = a^{2} * b^{2} Therefore HCF of given terms = 4a^{2}b^{2} Directions: Solve the following HCF problems. Also write at least 10 examples of your own. 