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What is the H.C.F of 4x2y, 16xy3, 2x3y3

  1. 2x3y3
  2. 2xy
  3. 16x3y3
  4. 4x2y2

Answer (Detailed Solution Below)

Option 2 : 2xy
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Detailed Solution

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Given:

The terms are 4x2y, 16xy3, 2x3y3

Calculation: 

Factors of 4x2y = 2 × 2 × x × x × y

Factors of 16xy3 = 2 × 2 × 2 × 2 × x × y × y × y

Factors of 2x3y3 = 2 × x × x × x × y × y × y

Common factors = 2 × x × y = 2xy

∴ HCF is 2xy

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