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The division ladders of 72, 108 and 180 are shown. What are HCF(72, 108, 180) and LCM(72, 108, 180)?

Class 10Fundamental Theorem of ArithmeticNumber Systems
  • AHCF = 12, LCM = 1080
  • BHCF = 36, LCM = 1080
  • CHCF = 36, LCM = 2160
  • DHCF = 18, LCM = 540

Step-by-Step Solution

. HCF uses the smallest powers of common primes: . LCM uses the greatest powers of all primes: .
Answer: B) HCF = 36, LCM = 1080

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