🧠 By Adarsh Home Tutorials 🏠
🔸 1. Prime Factorization Method (Easy for Small Numbers)
📍 Step: Break numbers into prime factors.
📌 HCF = Multiply common primes
📌 LCM = Multiply all prime factors (no repetition)
🧾 Example:
Find HCF & LCM of 12 and 18
➡️ 12 = 2² × 3
➡️ 18 = 2 × 3²
✅ HCF = 2 × 3 = 6
✅ LCM = 2² × 3² = 36
🔸 2. Division Method (for HCF) 📉
📍 Keep dividing till remainder is 0.
🔁 Swap and repeat.
🧾 Example:
Find HCF of 56 and 96
➡️ 96 ÷ 56 = 1 (R 40)
➡️ 56 ÷ 40 = 1 (R 16)
➡️ 40 ÷ 16 = 2 (R 8)
➡️ 16 ÷ 8 = 2 (R 0)
✅ HCF = 8
🔸 3. Product Shortcut (For LCM & HCF Combined)
📌 LCM × HCF = Product of Numbers
🧾 Example:
HCF of 15 & 20 = 5
Product = 15 × 20 = 300
➡️ LCM = 300 ÷ 5 = 60
🔸 4. Shortcut for Co-Primes (HCF = 1)
If numbers are co-prime:
✅ HCF = 1
✅ LCM = Product of numbers
🧾 Example: 7 & 9
HCF = 1, LCM = 7 × 9 = 63
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