Question

What is the H.C.F of 4x²y, 16xy³, 2x³y³
1. 2x³y³
2. 2xy
3. 16x³y³
4. 4x²y²

Answer 1

Correct Answer - Option 2 : 2xy

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