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RRB ALP CBT I 25 Nov 2024 Shift 3 Paper

Question : 60 of 75

Marks: +1, -0

The HCF of 450, 1500, and 1650 is:

Solution:

Concept:

The HCF is the largest number that divides all the given numbers exactly.

Explanation:

Write the prime factorization of each number:

450 = 2 \times 3^2 \times 5^2

1500 = 2^2 \times 3 \times 5^3

1650 = 2 \times 3 \times 5^2 \times 11

The common prime factors are

2

3

, and

5

Take the smallest power of each common factor:

2^1

3^1

, and

5^2

So, HCF

= 2 \times 3 \times 5^2 = 150

Answer:

150

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