Скачать или смотреть 🔥 HCF & LCM Concept Booster | Find the Value of m | Class 10 Maths Trick 🔥

🔥 HCF & LCM Concept Booster | Find the Value of m | Class 10 Maths Trick 🔥
Confused about how to express HCF or LCM in algebraic form? 🤔
In this question, you will learn how the HCF of 65 and 117 can be written as 65m − 117 and how to find the correct value of m using Euclid’s Division Lemma.
You will also solve how the LCM of 12 and 42 becomes 10m + 4 and find the value of m in a smart and simple method.
✔ Class 9 & 10 students
✔ CBSE Board Exams 2026
✔ PYQ practice
✔ Quick revision of HCF–LCM concepts
🚀 Boost your marks with clear, step-by-step explanation and easy logic!
Unlock the power of HCF and LCM with this amazing question set!
Learn how to turn tricky expressions like 65m − 117 and 10m + 4 into simple maths solutions.
Understand how Euclid’s Division Algorithm helps find HCF and how prime factorisation helps find LCM.
This question is super important for CBSE Term Exam, Final Board Exam, and Competitive Exams.
Don’t miss this maths shortcut! 💯
🌟 Ultimate HCF–LCM Booster Question | Find Value of m | Euclid Lemma + LCM Formula Explained 🌟
This question tests your full understanding of two major concepts of mathematics—
(1) Euclid’s Division Lemma for HCF
(2) Prime Factorisation for LCM
You are given:
👉 HCF of 65 and 117 is expressible in the form 65m − 117
Your job is to find m such that the expression equals the actual HCF.
This question improves your concept of:
✔ Euclid Algorithm
✔ HCF as linear combination
✔ Mathematical reasoning
Next, you are given:
👉 LCM of 12 and 42 is 10m + 4
Find m by comparing the actual LCM with the algebraic expression.
This helps you understand:
✔ Prime factors
✔ LCM formula
✔ Algebra + Number system connection
💥 This question is extremely important for:
– CBSE Class 9 & 10 Exams
– Board 2026 Mathematics
– NTSE / Olympiad Practice
– NCERT Chapter: Number System (Real Numbers)
📌 What you learn from this question:
🔹 How to apply Euclid’s Lemma step-by-step
🔹 How to convert HCF into the form ax + by
🔹 How to calculate LCM quickly using prime factors
🔹 How to solve algebraic expressions involving HCF/LCM
🔹 How to avoid common mistakes students make
🔥 BONUS: This question builds strong number system basics which are repeatedly asked in CBSE Board Papers and Sample Papers!
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