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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationHard
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If the HCF of (2^6\times3^2\times5) and (2^4\times3^5\times7) is (M), what is the value of (M)?

Answer and explanation

Correct answer: (2^4\times3^2)

Step 1: HCF includes only common primes (2) and (3). Step 2: The smaller powers are (2^4) and (3^2), so (M=2^4\times3^2). Step 3: Do not include (5) and (7), as they appear in only one number.

Related tags

Real-NumbersHcfPrime-PowersHcf And Lcm Using Prime FactorisationHcf Lcm Using Prime FactorisationReal NumbersMathematicsClass 10 Mcq
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10 more MCQs
  1. 1If the product of two numbers is 3780 and their LCM is 315, what is their HCF?
  2. 2What is the HCF of (18) and (24) using prime factorisation?
  3. 3What is the LCM of (18) and (24) using prime factorisation?
  4. 4What is the HCF of (40) and (60)?
  5. 5What is the LCM of (40) and (60)?
  6. 6What will be the HCF of (45) and (75)?
  7. 7What will be the LCM of (45) and (75)?
  8. 8Which is the HCF of (32) and (48)?
  9. 9Which is the LCM of (32) and (48)?
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