Question 10 of 18intermediate🔧 ApplyNumerical4 marks

Find the HCF and LCM of the following (state your answers in the form of prime factorisations): (a) 3×33 \times 3 × 5×75 \times 7 × 7 and 12×712 \times 7 × 11 (b) 45 and 36

(a)

Find HCF and LCM of 3×33 \times 3 × 5×75 \times 7 × 7 and 12×712 \times 7 × 11

Answer

HCF = 3×73 \times 7, LCM = 2×22 \times 2 × 3×33 \times 3 × 5×75 \times 7 × 7×117 \times 11

(b)

Find HCF and LCM of 45 and 36

Answer

HCF = 9, LCM = 180

Explanation

(a) First = 3² × 5×75 \times 7², Second = 2² × 3×73 \times 7 × 11. HCF = 3×73 \times 7, LCM = 2² × 3² × 5×75 \times 7² × 11. (b) 45 = 3² × 5, 36 = 2² × 3². HCF = 3² = 9, LCM = 2² × 3² × 5 = 180.

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