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Number System HCF & LCM Part 2 Class 6 to 10 Maths Rajesh Jogi Maths Academy
Rajesh Jogi Maths Academy — Maths made simple, deep, and exam-ready.
We don't just teach maths — we build the thinking behind it.
Every topic is taught at the concept level, so students truly understand WHY, not just HOW. This approach prepares students for Class exams today and IIT-JEE tomorrow.
📚 We cover Class 6 to 10 — integrating CBSE, State Board, and ICSE textbooks chapter by chapter, so no student is left behind regardless of their board.
🧠 Our method: Build concepts → Connect to real problems → Crack any exam.
------------------------------------------------------------
📘 IN THIS VIDEO
------------------------------------------------------------
Today's topic: HCF & LCM — Practice Problems | Class 6 to 10 Maths
- Finding two numbers when Ratio and HCF are given
- Sum of two numbers with HCF — finding all possible pairs
- Smallest/Largest number leaving a fixed remainder (LCM method)
- Odd number of factors → Perfect Square condition
- Counting Perfect Square Factors using Prime Factorization
📝 PRACTICE QUESTION PAPER / WORKSHEET (free download):
👉 Practice paper:https://drive.google.com/file/d/1jHWs7iaiggwZur4y8216AUD9nW87h8Vh/view?usp=sharing
▶️ RELATED VIDEOS:
- Previous lesson:https://youtu.be/LCYMy0HJVb0
⏱️ TIMESTAMPS:
0:00 Introduction: Ratio & HCF Problem
0:31 Key Concept: Numbers = HCF × Coprime Pairs
1:04 Finding the Two Numbers: 36 and 48
1:18 Finding LCM Using HCF
1:43 Question 6: Sum = 168, HCF = 12
2:09 Setting Up the Equation
2:32 Finding All Coprime Pairs
3:14 All Possible Answers: (3,11), (9,5), (1,13)
3:56 Question 8: Smallest Number with Remainder 8
4:42 Solution: LCM = 540, Answer = 548
5:21 Variation: Largest 3-Digit Number
5:52 Question 10: Odd Number of Factors — Find n
6:14 Key Rule: Odd Factors = Perfect Square
7:00 Why n Has No Solution Here
7:31 Variation: When 5² is Given
7:55 How Many Factors of n are Perfect Squares?
8:23 Listing Even-Power Combinations
9:11 Counting Perfect Square Factors
10:02 Closing & Doubts
------------------------------------------------------------
📞 ADMISSIONS & DOUBTS
------------------------------------------------------------
📍 Kummaripeta Village, Amadalavalasa Mandal, Srikakulam District
📞 Call / WhatsApp: 9618792357
🔔 Subscribe for weekly maths lessons.
👍 Like • 💬 Comment your doubts • 🔁 Share with friends
#RajeshJogiMathsAcademy #Maths #Class9Maths #Class8Maths #Mathematics
#HCF #LCM #PerfectSquares #Factors #CBSE #StateBoard #ICSE
#IITJEE #MathsTuition #SrikakulamTuition #HCFandLCM #BasicToAdvanced
Видео Number System HCF & LCM Part 2 Class 6 to 10 Maths Rajesh Jogi Maths Academy канала Rajesh Jogi Maths Academy
We don't just teach maths — we build the thinking behind it.
Every topic is taught at the concept level, so students truly understand WHY, not just HOW. This approach prepares students for Class exams today and IIT-JEE tomorrow.
📚 We cover Class 6 to 10 — integrating CBSE, State Board, and ICSE textbooks chapter by chapter, so no student is left behind regardless of their board.
🧠 Our method: Build concepts → Connect to real problems → Crack any exam.
------------------------------------------------------------
📘 IN THIS VIDEO
------------------------------------------------------------
Today's topic: HCF & LCM — Practice Problems | Class 6 to 10 Maths
- Finding two numbers when Ratio and HCF are given
- Sum of two numbers with HCF — finding all possible pairs
- Smallest/Largest number leaving a fixed remainder (LCM method)
- Odd number of factors → Perfect Square condition
- Counting Perfect Square Factors using Prime Factorization
📝 PRACTICE QUESTION PAPER / WORKSHEET (free download):
👉 Practice paper:https://drive.google.com/file/d/1jHWs7iaiggwZur4y8216AUD9nW87h8Vh/view?usp=sharing
▶️ RELATED VIDEOS:
- Previous lesson:https://youtu.be/LCYMy0HJVb0
⏱️ TIMESTAMPS:
0:00 Introduction: Ratio & HCF Problem
0:31 Key Concept: Numbers = HCF × Coprime Pairs
1:04 Finding the Two Numbers: 36 and 48
1:18 Finding LCM Using HCF
1:43 Question 6: Sum = 168, HCF = 12
2:09 Setting Up the Equation
2:32 Finding All Coprime Pairs
3:14 All Possible Answers: (3,11), (9,5), (1,13)
3:56 Question 8: Smallest Number with Remainder 8
4:42 Solution: LCM = 540, Answer = 548
5:21 Variation: Largest 3-Digit Number
5:52 Question 10: Odd Number of Factors — Find n
6:14 Key Rule: Odd Factors = Perfect Square
7:00 Why n Has No Solution Here
7:31 Variation: When 5² is Given
7:55 How Many Factors of n are Perfect Squares?
8:23 Listing Even-Power Combinations
9:11 Counting Perfect Square Factors
10:02 Closing & Doubts
------------------------------------------------------------
📞 ADMISSIONS & DOUBTS
------------------------------------------------------------
📍 Kummaripeta Village, Amadalavalasa Mandal, Srikakulam District
📞 Call / WhatsApp: 9618792357
🔔 Subscribe for weekly maths lessons.
👍 Like • 💬 Comment your doubts • 🔁 Share with friends
#RajeshJogiMathsAcademy #Maths #Class9Maths #Class8Maths #Mathematics
#HCF #LCM #PerfectSquares #Factors #CBSE #StateBoard #ICSE
#IITJEE #MathsTuition #SrikakulamTuition #HCFandLCM #BasicToAdvanced
Видео Number System HCF & LCM Part 2 Class 6 to 10 Maths Rajesh Jogi Maths Academy канала Rajesh Jogi Maths Academy
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15 июня 2026 г. 16:55:30
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