Question

Find the HCF of the following by any method 12,15 and 18​

Answer 1

Answer:

HCF of 12,15 and 18 is 3.

Step-by-step explanation:

Finding the HCF of 12,15 and 18 through common factorisation method.

Factors of 12=1,2,3,4,6,12

Factors of 15=1,3,5,15

Factors of 18=1,2,3,6,9,18

Common factors=1,3

HCF=3

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Answer 2

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Using prime factorisation method:

(i) 12, 15 and 21

Factor of 12=2×2×3

Factor of 15=3×5

Factor of 21=3×7

HCF (12,15,21)=3

LCM (12,15,21)=2×2×3×5×7=420

(ii) 17, 23 and 29

Factor of 17=1×17

Factor of 23=1×23

Factor of 29=1×29

HCF (17,23,29)=1

LCM (17,23,29)=1×17×23×29=11,339

(iii) 8, 9 and 25

Factor of 8=2×2×2×1

Factor of 9=3×3×1

Factor of 25=5×5×1

HCF (8,9,25)=1

LCM (8,9,25)=2×2×2×3×3×5×5=1,800