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Q.

Using prime factorization, the HCF and LCM of 17, 23, 29 is:


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a

H.C.F = 3 and L.C.M = 11350

b

H.C.F = 5 and L.C.M = 11328

c

H.C.F = 1 and L.C.M = 11339

d

H.C.F = 2 and L.C.M = 11050 

answer is C.

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Detailed Solution

Given 3 numbers 17, 23 and 29.
The prime factors are,
17=17×1 23=23×1 29=29×1
As the common factor is 1, H.C.F = 1.
Now, the L.C.M of 17, 23, 29 is,
=17×23×29 =11339
Therefore, H.C.F = 1 and L.C.M = 11339.
Hence, option 3 is correct.
 
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