HCF and LCM via prime factorisationPractice Questions & MCQs
Practice HCF and LCM via prime factorisation questions from Real Numbers (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
HCF and LCM via prime factorisationQuiz - Solve & Score
Q1. What is the greatest number which divides 102 and 148 and leaves remainders 6 and 4?
- A.2
- B.4
- C.96
- D.48
Answer: D. 48
Q2. What is the greatest number which divides 138 and 148 and leaves remainders 6 and 4?
- A.132
- B.8
- C.12
- D.2
Answer: C. 12
Given 138, 148, 6, 4, asked for What is the greatest number which divides 138 and 148 and leaves remainders 6 and 4?. By midpoint corresponds to m = n = 1. midpoint corresponds to m = n = 1 → hence answer = 12. the section formula gives the dividing point of (x1,y1) and (x2,y2) in ratio m:n as ((m x2 + n x1)/(m + n), (m y2 + n y1)/(m + n)). Hence option C) 12. Others fail: option A) '132' misses the point - Wrong: a common multi-step slip gives this; option B) '8' is wrong because Wrong: uses an incorrect intermediate value.
Q3. What is the greatest number which divides 162 and 232 and leaves remainders 6 and 4?
- A.2
- B.4
- C.12
- D.156
Answer: C. 12
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Where can I practise HCF and LCM via prime factorisation questions for Class 10 Maths?
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Are these HCF and LCM via prime factorisation questions important for the exam?
Yes. These HCF and LCM via prime factorisation important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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