ntulislethokuhle11 ntulislethokuhle11
  • 24-02-2024
  • Mathematics
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What is the HCF of 330 and 396

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aathmikapratheesh aathmikapratheesh
  • 24-02-2024

Answer:

HCF = 66

Step-by-step explanation:

Step 1: Prime Factorization of 330:

330 = 2 × 3 × 5 × 11

Step 2: Prime Factorization of 396:

396 = 2^2 × 3^2 × 11

Step 3: Identify the common prime factors and their lowest powers:

Common factors: 2, 3, 11

Step 4: Multiply the common prime factors with their lowest powers:

HCF = 2^1 × 3^1 × 11^1

HCF = 2 × 3 × 11

HCF = 66

Therefore, the HCF of 330 and 396 is 66.

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