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The HCF and LCM of 8, 9 and 25 by applying the prime factorisation method is:

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1, 1500

1, 1800

5, 1400

2, 2000

answer is B.

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Detailed Solution

Given three numbers are 8, 9 and 25.
Firstly, we have to find H.C.F, writing prime factors of all given numbers.

8 = 1 × 2 × 2 × 2 9 = 1 × 3 × 3 25 = 1 × 5 × 5

Since, only 1 is common factor of all number,
H.C.F = 1.
The formula for finding L.C.M is
= Highest common factor × Product of remaining prime factors

= 1 × (2 × 2 × 2) × (3 × 3) × (5 × 5) = 1800

L.C.M = 1800
Hence, option 2 is correct.

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