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Q.

Find the HCF and LCM of 8,9 and 25 using prime factorization method.


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a

     1 and 1800

b

    2 and 1200

c

    1 and 1200

d

    2 and 1800 

answer is A.

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Detailed Solution

Given,
The numbers are 8,9 and 25.
The product of prime factors of all three numbers are,
⇒8=2×2×2×1 ⇒9=3×3×1 ⇒25=5×5×1 ⇒HCF(8,9,25)=1 ⇒LCM(8,9,25)=2×2×2×3×3×5×5 ⇒LCM(8,9,25)=1800  
Thus, the HCF is 1 and LCM is 1800.
Therefore, option(1)     is correct answer.
 
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