The HCF of 12576 and 4052 is 4. The highest value, which can divide the numbers 12576 and 4052, indicates the HCF. The factors of 12576 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 12576, and the factors of 4052 are 1, 2, 4, 1013, 2026, 4052. The value of HCF found using prime factorisation, long division and listing common factors are shown here for the reference of students.
Also read: Highest common factor
What is the HCF of 12576 and 4052?
The answer to this question is 4. Finding the HCF of 12576 and 4052 using various methods is given in this article. The number which divides 12576 and 4052 evenly is the HCF.
How to Find HCF of 12576 and 4052?
The methods used to find the HCF of 12576 and 4052 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 12576 and 4052 by Prime Factorisation Method
The prime factorisation of 12576 and 4052 is:
12576 = 2 × 2 × 1013
4052 = 2 × 2 × 2 × 2 × 2 × 3 × 131
Common prime factors of 12576 and 4052 = 2, 2
Therefore, HCF (12576, 4052) = 2 × 2 = 4
HCF of 12576 and 4052 by Long Division Method
To obtain the HCF, the numbers (12576, 4052) have to be divided by the factors. The HCF of 12576 and 4052 is the divisor we get by long division when the remainder is zero.
No further division can be done.
Hence, HCF (12576, 4052) = 4
HCF of 12576 and 4052 by Listing Common Factors
The HCF of 12576 and 4052 by listing common factors is:
Factors of 12576: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 131, 262, 393, 524, 786, 1048, 1572, 2096, 3144, 4192, 6288, 12576
Factors of 4052: 1, 2, 4, 1013, 2026, 4052
There are 3 common factors of 12576 and 4052, and they are 1, 2 and 4.
Therefore, the highest common factor of 12576 and 4052 is 4.
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Video Lesson on Properties of HCF and LCM
HCF of 12576 and 4052 Solved Example
Question: If the product of two numbers = 50957952 and HCF = 4, find the LCM.
Solution:
Given
Product of two numbers = 50957952
HCF = 4
HCF × LCM = Product of two numbers
4 × LCM = 50957952
LCM = 50957952/4
LCM = 12739488
Hence, the LCM is 12739488.
Frequently Asked Questions on HCF of 12576 and 4052
What is the HCF of 12576 and 4052 if the LCM is 12739488?
Given
LCM = 12739488
LCM × HCF = 12576 × 4052
HCF = (12576 × 4052)/12739488
HCF = 4
Using the long division method, find the HCF of 12576 and 4052.
What are the methods used to find HCF of 12576 and 4052?
What is the HCF of 12576 and 4052?
Show the relation between HCF and LCM of 12576 and 4052.
The relation between HCF and LCM of 12576 and 4052 is
HCF × LCM = 12576 × 4052
HCF × LCM = 50957952
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