
Find the HCF and LCM of 24 and 36 by prime factorization method.
Answer
446.4k+ views
1 likes
Hint: Prime factorization uses prime numbers only. We write the number as a product of the prime numbers and then we proceed to find the LCM and HCF. These are found separately.
Complete step-by-step answer:
Given the numbers are 24 and 36.
These are to be written in the form of a product of prime numbers. so, we can write,
Now we will proceed towards finding the LCM and HCF
HCF:
The common numbers in the product pattern are . Thus the HCF is 12.
LCM:
Now to find the LCM we will use the uncommon numbers also.
Thus we have as the uncommon factors. Thus the LCM will be,
So, the HCF is 12 and LCM is 72.
Note: Note that factors and multiples are two different concepts. To cross verify the answer we will use the formula that the product of LCM and HCF of two numbers is equal to the product of two numbers.
Thus and . Thus the LCM and HCF are correct.
Complete step-by-step answer:
Given the numbers are 24 and 36.
These are to be written in the form of a product of prime numbers. so, we can write,
Now we will proceed towards finding the LCM and HCF
HCF:
The common numbers in the product pattern are
LCM:
Now to find the LCM we will use the uncommon numbers also.
Thus we have
So, the HCF is 12 and LCM is 72.
Note: Note that factors and multiples are two different concepts. To cross verify the answer we will use the formula that the product of LCM and HCF of two numbers is equal to the product of two numbers.
Thus
Latest Vedantu courses for you
Grade 10 | CBSE | SCHOOL | English
Vedantu 10 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹37,300 per year
Recently Updated Pages
Master Class 12 Business Studies: Engaging Questions & Answers for Success

Master Class 12 English: Engaging Questions & Answers for Success

Master Class 12 Economics: Engaging Questions & Answers for Success

Master Class 12 Social Science: Engaging Questions & Answers for Success

Master Class 12 Maths: Engaging Questions & Answers for Success

Master Class 12 Chemistry: Engaging Questions & Answers for Success

Trending doubts
In Indian rupees 1 trillion is equal to how many c class 8 maths CBSE

How many ounces are in 500 mL class 8 maths CBSE

Name the states through which the Tropic of Cancer class 8 social science CBSE

How many ten lakhs are in one crore-class-8-maths-CBSE

What is the value of e infty class 8 maths CBSE

Explain land use pattern in India and why has the land class 8 social science CBSE
