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HCF and LCM MCQs

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Practice free HCF and LCM multiple-choice questions with instant answer feedback and step-by-step solutions. Click an option to check yourself, reveal the full explanation, and work through all 7 questions — no login required.

Question 1easy
HCF of 3240, 3600, and a third number is 36 and their LCM is 24 × 35 × 52 × 72 . The third number is = ?
Question 2easy
The HCF of x6 - 1 and x4 + 2x3 - 2x1 - 1 is = ?
Question 3easy
Find the LCM of 34 × 52 × 72 × 11, 33 × 5 × 7 × 112 and 32 × 53 × 114.
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Question 4easy
A and B are two prime numbers such that A > B and their LCM is 209. The value of A2 - B is:
Question 5easy
What is the HCF of the polynomials (x4 - 1), (x3 - 3x2 + 3x - 1) and (x3 - 2x2 + x)?
Question 6easy
The H.C.F of 24 × 32 × 53 × 7, 23 × 33 × 52 × 72 and 3 × 5 × 7 × 11 is = ?
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Question 7easy
What is the LCM of (8x3 + 80x2 + 200x) and (4x4 + 16x3 - 20x2)?