i. HCF = 1, LCM = 1800

Prime factorization of given numbers -

8 = 2 × 2 × 2 × 1

9 = 3 × 3 × 1

25 = 5 × 5 × 1

So HCF = product of common factors = 1

And LCM = product of prime factors with highest powers = 2³ × 3² × 5² = 1800

ii. HCF = 3, LCM = 420

Prime factorization of given numbers -

12 = 2 × 2 × 3

15 = 3 × 5

21 = 3 × 7

So HCF = product of common factors = 3

And LCM = product of prime factors with highest powers = 2² × 3 × 5 × 7 = 420

iii. HCF = 1, LCM = 11339

Prime factorization of given numbers -

17 = 17 × 1

23 = 23 × 1

29 = 29 × 1

So HCF = 1

And LCM = product of prime factors with highest powers = 17 × 23 × 29 = 11339

iv. HCF = 4, LCM = 360

Prime factorization of given numbers -

36 = 2 × 2 × 3 × 3

24 = 2 × 2 × 2 × 3

40 = 2 × 2 × 2 × 5

So HCF = product of common factors = 2 × 2 = 4

And LCM = product of prime factors with highest powers = 2³ × 3² × 5 = 360

v. HCF = 6, LCM = 2160

Prime factorization of given numbers -

30 = 2 × 3 × 5

72 = 2 × 2 × 2 × 3 × 3

432 = 2 × 2 × 2 × 2 × 3 × 3 × 3

So HCF = product of common factors = 2 × 3 = 6

And LCM = product of prime factors with highest powers = 2⁴ × 3³ × 5 = 2160

vi. HCF = 1, LCM = 1260

Prime factorization of given numbers -

21 = 3 × 7

28 = 2 × 2 × 7

36 = 2 × 2 × 3 × 3

45 = 3 × 3 × 5

So HCF = product of common factors = 1

And LCM = product of prime factors with highest powers = 2² × 3² × 5 × 7 = 1260