📘 LCM and HCF – Quick Summary for CUET-GT
LCM and HCF are important concepts in the quantitative aptitude section of CUET. They help in understanding relationships between numbers, especially factors and multiples. 🔢
🔹 HCF (Highest Common Factor)
HCF is the largest number that divides two or more numbers exactly without leaving a remainder. It is also called the Greatest Common Divisor (GCD).
Example: Factors of 12 → 1, 2, 3, 4, 6, 12
Factors of 18 → 1, 2, 3, 6, 9, 18
HCF = 6 ✔️
🔹 LCM (Least Common Multiple)
LCM is the smallest number that is divisible by two or more numbers. It is found by identifying the smallest common multiple of the numbers. 📊
Example: Multiples of 4 → 4, 8, 12, 16...
Multiples of 6 → 6, 12, 18, 24...
LCM = 12 ✔️
📌 Important Formula
LCM × HCF = Product of the Numbers
LCM(a, b) × HCF(a, b) = a × b
✨ Key Points for CUET
- 📍 HCF focuses on common factors.
- 📍 LCM focuses on common multiples.
- 📍 If two numbers are co-prime, then HCF = 1.
- 📍 In such cases, LCM = product of the numbers.
- 📍 These concepts are useful for solving problems related to divisibility and repeating events.
Here are FAQs related to CUET and the General Test (GT) that you can use on a worksheet or study page.
1. What is CUET?
The Common University Entrance Test (CUET) is a national-level entrance exam conducted for admission to undergraduate programs in many central, state, and private universities across India.
2. What is the CUET General Test (GT)?
The CUET General Test is a section of the CUET exam that evaluates a student’s general aptitude, logical reasoning, quantitative ability, and general knowledge.
3. What topics are included in the CUET GT quantitative section?
The quantitative aptitude section of CUET GT usually includes topics such as percentages, ratios, averages, profit and loss, time and work, time and distance, and basic arithmetic calculations.
4. Is the General Test compulsory in CUET?
No, the General Test is not compulsory for all courses. It depends on the university and the program requirements. Some courses require it, while others only require language and domain subjects.
5. Why is the percentage topic important for CUET GT?
Percentage is a core arithmetic concept used in many aptitude questions. It also forms the basis for solving problems related to profit and loss, discounts, data interpretation, and ratios, which frequently appear in the CUET GT.
6. How can students prepare for the CUET General Test?
Students can prepare by studying basic concepts, solving practice worksheets, attempting mock tests, and regularly practicing aptitude questions related to the syllabus.
7. What type of questions appear in CUET GT?
CUET GT includes multiple-choice questions (MCQs) covering quantitative aptitude, logical reasoning, general awareness, and basic analytical skills.
8. How many questions are asked in the CUET General Test?
The number of questions may vary depending on the exam pattern, but students usually need to attempt a specific number of questions from a given set within a time limit.
9. Is there negative marking in CUET?
Yes, the Common University Entrance Test typically includes negative marking, where marks may be deducted for incorrect answers.
10. What is the best way to improve speed in CUET GT quantitative questions?
Regular practice, learning calculation shortcuts, and solving timed practice tests can help improve speed and accuracy.