3. Find the HCF and the LCM of the following pairs of numbers. Also verify the
relationship between them.
a) 56 and 7 b) 81 and 3 c) 96 and 6 d) 45 and 5 e) 82 and 2
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Answer:
a)56=2×3×3×3×1
7=7×1
HCF=1(because 1is the only common factor of 56&7)
LCM= 2×3³×7
=378
b)81=3×3×3×3
6=2×3
HCF= 3( since 3common factor )
LCM=3⁴×2
=162
c)96=2×2×2×2×2×3
6=2×3
HCF=6( since 2 and 3are common factor so 2×3=6)
LCM=2⁵×3
=96
d)45=3×3×5
5=5×1
HCF=5 ( SINCE ONLY 5 IS THE COMMON FACTOR)
LCM=3²×5
=9×5
=5
in last one I have some doubt about the number is 81 or 82 that's why I have not solve it ... sorry
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