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### Grade 7 - Mathematics4.9 Highest Common Factor - I

 HCF of two or more monomials is the largest monomial which divides each of the given monomials completely. Steps: 1.  Break each monomials into the simplest numerical and literal factors. 2.  Find all numerical and literal factors that divide each of the given monomials. 3.  Multiply such numerical and literal factors to get the HCF. Example: 12a, 6a2, 24a3 find the HCF of the given monomials. Solution: Break each monomials into the simplest numerical and literal factors, we get, 12a = 3 * 2 * 2 * a 6a2 = 3 * 2 * a * a 24a3 = 3 * 2 * 2 * 2 * a * a * a Greatest numerical factor that divides each monomial = 3 * 2 = 6 Greatest literal factor that divides each monomial = a Therefore HCF of the given terms = 3 * 2 * a = 6a Directions: Find the HCF of the following monomials. Also write at least 10 examples of your own.
 Q 1: 9a2 and 81a, find the HCF of the given monomials.15a9a2a7a Q 2: 225a2 and 25a, find the HCF of the given monomials.5a10a25a12a Q 3: 12a2 and 24a, find the HCF of the given monomials.12a5a3a6a Q 4: 2x2y and x, find the HCF of the given monomials.2x-x3xx Q 5: 15a2 and 45a, find the HCF of the given monomials.15a10a9a3a Q 6: 7a2 and 35a, find the HCF of the given monomials.5a4a3a7a Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!