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Find the HCF of 16.5, 0.45 and 15.
Question

Find the HCF of 16.5, 0.45 and 15.

A.

45

B.

15

C.

0.15

D.

0.45

Correct option is C

Given:
We need to find the HCF (Highest Common Factor) of the numbers:
16.5
0.45
15
Solution:
Multiply each number by 100 to eliminate decimals:
16.5×100=1650 0.45×100=45 15×100=150016.5 \times 100 = 1650 \\ \ \\0.45 \times 100 = 45 \\ \ \\15 \times 100 = 1500 ​​
Factorize each number:
1650 =2×3×52×11 2 \times 3 \times 5^2 \times 11 ​​
45=32×55 = 3^2 \times 5​​
1500=22×3×531500 = 2^2 \times 3 \times 5^3 ​​
The common primes in all three numbers are 3 and 5.
Take the lowest power of each common prime:
31 3^1 ​ (from 1650 or 1500, since 45 has 32 3^2 ​​
515^1 ​ (from 45, since others have higher powers)
HCF = 3×5=15 \times 5 = 15 ​​
Since we multiplied by 100 earlier, now divide the HCF by 100:
HCF = 15100=0.15\frac{15}{100} = 0.15 ​​



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