find the HCF and LCM of 144 and 180 and 192
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Answer:
Factors of 144 = 2 × 2 × 2 × 2 × 3 × 3
Factors of 180 = 2 × 2 × 3 × 3 × 5
Factors of 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3
Common factors of 144, 180, 192 = {2,2,3}
LCM (144,180,192) = 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5
= 2880
So, HCF(144,180,192) = 2 × 2 × 3 = 12.
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