Learn Smart with Mahesh ๐
Welcome to Learn Smart with Mahesh, your go-to channel for KTU Engineering subjects, School-level learning, and Kerala PSC exam preparation โ all in a smart and simplified way!
๐น What You'll Learn:
๐ KTU BTech (ECE) Subjects
โ
Digital & Analog Electronics, Signals & Systems, Control Systems
โ
KTU syllabus-based lessons, problem-solving, and practical applications.
๐ School Subjects (CBSE, ICSE & Kerala State Board)
โ
Mathematics, Physics explained in an easy-to-understand way.
โ
Board exam preparation, previous year papers & smart study techniques.
๐ฏ Kerala PSC Exam Prep
โ
Science, Math, Reasoning, GK & Current Affairs for LDC, LGS & Degree-level exams.
โ
Previous year questions & solved papers.
About Me:
MAHESH.B.S
Ph.D. in Machine Learning (pursuing)
M.Tech in Wireless Technology
MBA in Operations
UGC NET qualified in Electronic Science
B.Tech in Electronics and Communication
Thank you for tuning in, and I look forward to sharing my knowledge with you!
Learn SMART with MAHESH
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Learn SMART with MAHESH
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Learn SMART with MAHESH
เดเดจเตเดคเตเดฏเดฏเดฟเตฝ เดชเดเตเดเดพเดฏเดคเตเดคเดฟ เดฐเดพเดเต เดธเดฟเดธเตเดฑเตเดฑเด เดจเดฟเดฒเดตเดฟเดฒเตโ เดตเดจเตเดจ เดตเตผเดทเด เดเดคเต?
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Learn SMART with MAHESH
เดเตเดฐเดณเดคเตเดคเดฟเตฝ เดจเดฟเดธเตเดธเดนเดเดฐเดฃ เดธเดฎเดฐเด เดเดฐเดเดญเดฟเดเตเดเดคเต เดเดคเต เดตเตผเดทเดฎเดพเดฃเต?
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Learn SMART with MAHESH
เดเดณเดฟเดฎเตเดชเดฟเดเต เดเตเดฏเดฟเดเดธเดฟเดจเตเดฑเต เดธเตเดฅเดพเดชเดเดจเต เดเดฐเดพเดฃเตเดจเตเดจเต เดตเดฟเดถเตเดตเดธเดฟเดเตเดเตเดจเตเดจเต?
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Learn SMART with MAHESH
HCF stands for "Highest Common Factor." It is the largest number that can exactly divide two or more numbers without leaving a remainder. Finding the HCF of two or more numbers is a common task in arithmetic and algebra.
Here's how you can find the HCF of two numbers using different methods:
Method 1: Prime Factorization
Prime Factorize each number.
Identify common prime factors.
Multiply the smallest power of each common prime factor.
Example: Find the HCF of 36 and 60
Prime factorization of 36:
36
=
2
2
ร
3
2
36=2
2
ร3
2
Prime factorization of 60:
60
=
2
2
ร
3
ร
5
60=2
2
ร3ร5
Common prime factors:
2
2
2
2
and
3
3
HCF:
2
2
ร
3
=
4
ร
3
=
12
2
2
ร3=4ร3=12
Method 2: Division Method (Euclidean Algorithm)
Divide the larger number by the smaller number.
Use the remainder as the new divisor and the previous divisor as the new dividend.
Repeat the process until the remainder is 0.
The divisor when the remainder becomes 0 is the HCF.
Example: Find the HCF of 36 and 60
Step 1:
60
รท
36
=
1
60รท36=1 (remainder 24)
Step 2:
36
รท
24
=
1
36รท24=1 (remainder 12)
Step 3:
24
รท
12
=
2
24รท12=2 (remainder 0)
HCF: 12
Method 3: Listing Factors
List all factors of each number.
Identify the common factors.
The largest common factor is the HCF.
Example: Find the HCF of 36 and 60
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Common factors: 1, 2, 3, 4, 6, 12
HCF: 12
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