Question 2 - Page 60 - Miscellenaous Questions on HCF, LCM - Chapter 3 Class 7 - Finding Common Ground (Ganita Prakash II)

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Question 2(a) - Page 60 Here are some more numbers where both numbers are multiples of the same number. Find their HCF: (a) 18 × 10, 18 × 15Let’s do prime factorization for both numbers 18 × 10 = 2 × 3 × 3 × 2 × 5 18 × 15 = 2 × 3 × 3 × 3 × 5 Thus, HCF = 2 × 3 × 3 × 5 = 2 × 9 × 5 = 90 Question 2(b) - Page 60 Here are some more numbers where both numbers are multiples of the same number. Find their HCF: (b) 10 × 38, 10 × 21 Let’s do prime factorization for both numbers 10 × 38 = 2 × 5 × 2 × 19 10 × 21 = 2 × 5 × 3 × 7 Thus, HCF = 2 × 5 = 10 Question 2(c) - Page 60 Here are some more numbers where both numbers are multiples of the same number. Find their HCF: (c) 5 × 13, 5 × 20 Let’s do prime factorization for both numbers 5 × 13 = 5 × 13 5 × 20 = 5 × 2 × 2 × 5 Thus, HCF = 5 Question 2(d) - Page 60 Here are some more numbers where both numbers are multiples of the same number. Find their HCF: (d) 12 × 16, 12 × 20Let’s do prime factorization for both numbers 12 × 16 = 2 × 2 × 3 × 2 × 2 × 2 × 2 12 × 20 = 2 × 2 × 3 × 2 × 2 × 5 Thus, HCF = 2 × 2 × 3 × 2 × 2 = 4 × 3 × 4 = 48