How to Find Highest Common Factor (HCF) Using Prime Factorization | Easy Method

How to Find Highest Common Factor (HCF) Using Prime Factorization?

Ji to pyare bachon :) aaj ke lecture mein hum ne seekha ke Highest Common Factor (HCF) ko prime factorization method ki madad se kaise nikala jata hai. Is lecture mein hum ne example ke taur par 27, 54 aur 315 ka HCF find kiya aur step-by-step samjhaya ke common factors kaise identify kiye jate hain.

Aap ne dekha ke pehle har number ke prime factors nikale jate hain, phir un common factors ko select kiya jata hai jo teeno numbers mein common hon. Isi process ke through hum ne final HCF = 9 hasil kiya.

Agar aap detailed notes PDF form mein hasil karna chahte hain to iss number par contact karein: +923444789022 (minor charges apply).

Question Paper (Based on Lecture):

MCQs:

What is the HCF of 27, 54, and 315?
a) 3
b) 6
c) 9
d) 12
Which method is used to find HCF in this lecture?
a) Division Method
b) Prime Factorization
c) Subtraction Method
d) Addition Method
The prime factorization of 27 is:
a) 2 × 13
b) 3 × 3 × 3
c) 5 × 5
d) 7 × 3
Which number is even?
a) 27
b) 35
c) 54
d) 315
The common prime factor in all given numbers is:
a) 2
b) 3
c) 5
d) 7

Short Questions:

Define Highest Common Factor (HCF).
What is prime factorization?
Write the prime factors of 54.
Why is 27 not divisible by 2?
What is the first step in finding HCF using factorization?

Long Question:
Explain the complete method of finding the Highest Common Factor (HCF) of 27, 54, and 315 using prime factorization. Show all steps clearly.

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