Chapter 11: Saajha Aadhaar Dhoondhna
Do cheezein kab ek saath fit hoti hain, ya phir milti hain? Is chapter mein common factors se sabse bade barabar tukde (HCF) aur common multiples se dohraati cheezon ka milna (LCM) nikaalenge. Prime factorisation dono ko jaldi karta hai, aur hum HCF × LCM = numbers ka guna jaise pattern khojenge.
Is chapter mein tum
- common factors aur HCF nikaalna
- HCF aur LCM ke liye prime factorisation
- common multiples aur LCM nikaalna
- HCF aur LCM ke aam kathan banaana
Topics
- Sabse Bada NCERT P2 3.1
HCF = sabse bada common factor; "sabse bada barabar tukda" sawaalon ka jawaab.
- Sabse Chhota, Par Aakhri Nahi! NCERT P2 3.2
LCM = sabse chhota common multiple; "phir kab milenge" sawaalon ka jawaab.
- Pattern, Gun aur ek Pyaari Vidhi! NCERT P2 3.3
Lagaataar numbers co-prime; co-prime numbers ka LCM unka guna.
Key words
- Common factor
- jo har diye number ko baante
- HCF
- sabse bada common factor (GCD bhi)
- Common multiple
- har diye number ka multiple
- LCM
- sabse chhota common multiple
- Prime factorisation
- primes ke guna roop mein number
- Co-prime
- jinka HCF 1 ho
- Conjecture
- abhi tak saabit na hua daava
Summary
- HCF: common primes, har ek kam se kam; sabse bada barabar tukda.
- LCM: saare primes, har ek zyaada se zyaada; dohraati ghatnaayein kab milti hain.
- Dono numbers ko kadam-kadam common factors se bhaag dene se HCF aur LCM saath milte hain.
- HCF × LCM = dono ka guna; co-prime ka HCF 1.