I want to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in my garden. If I put the same number of plants in each row and each row has only one type of plant, what is the greatest number of plants I can put in one row?
Answers
Given : Jodi-Ann wants to plant 45 sunflower plants, 81 corn plants and 63 tomato plants in her garden.
She put the same number of plants in each row and each row has only one type of plant,
To Find : the greatest number of plants she can put in one row
Solution:
To find the greatest number of plants she can put in one row , need to find
HCF of 45 , 81 and 63
45 = 3 * 3 * 5 = 3² * 5¹
81 = 3 * 3 * 3 * 3 = 3⁴
63 = 3 * 3 * 7 = 3² * 7¹
HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.
HCF = product of common factors of least power
HCF = 3² = 9
Hence greatest number of plants she can put in one row is 9
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