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Q.

Find the HCF and LCM of 17,23 and 29 using prime factorization method.


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a

     1 and 1800

b

    3 and 420

c

    1 and 12043

d

    1and 11339 

answer is D.

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Detailed Solution

Given,
The numbers are 17,23 and 29.
The product of prime factors of all three numbers are,
⇒17=17×1 ⇒23=23×1 ⇒29=29×1 ⇒HCF(17,23,29)=1 ⇒LCM(17,23,29)=17×23×29 ⇒LCM(17,23,29)=11339  
Thus, the HCF is 1 and LCM is 11339.
Therefore, option(4)     is correct answer
 
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