The HCF of 4052 and 12576 is 4. The greatest integer which divides the numbers 4052 and 12576 evenly is the HCF. The factors of 4052 are 1, 2, 4, 1013, 2026, 4052, and 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. The methods used to find the HCF of the numbers are prime factorisation, long division and listing common factors.
Also read: Highest common factor
What is HCF 4052 and 12576?
The answer to this question is 4. The HCF of 4052 and 12576 using different methods is explained in brief in this article. The HCF of 4052 and 12576 is 4, as it divides 4052 and 12576 equally.
How to Find HCF of 4052 and 12576?
There are three methods to find the HCF of 4052 and 12576
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4052 and 12576 by Prime Factorisation Method
The prime factorisation of 4052 and 12576 is given by:
4052 = 2 × 2 × 1013
12576 = 2 × 2 × 2 × 2 × 2 × 3 × 131
Common prime factors of 4052 and 12576 = 2, 2
Hence, HCF (4052, 12576) = 2 × 2 = 4
HCF of 4052 and 12576 by Long Division Method
We should divide (4052, 12576) by the prime factors to get the HCF of 4052 and 12576 using the division method. The HCF of 4052 and 12576 is the divisor we obtain when the remainder becomes zero after long division.
No further division can be done.
Hence, HCF (4052, 12576) = 4
HCF of 4052 and 12576 by Listing the Factors
To find the HCF of 4052 and 12576, we have to list the common factors as shown below:
Factors of 4052: 1, 2, 4, 1013, 2026, 4052
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
There are 3 common factors of 4052 and 12576, and they are 1, 2 and 4.
Therefore, the highest common factor of 4052 and 12576 is 4.
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Video Lesson on Properties of HCF and LCM
HCF of 4052 and 12576 Solved Example
Question: Find the HCF of 4052 and 12576 if the LCM is 12739488.
Solution:
Given
LCM = 12739488
We know that
HCF × LCM = 4052 × 12576
HCF = (4052 × 12576)/12739488
HCF = 4
Hence, the HCF is 4.
Frequently Asked Questions on HCF of 4052 and 12576
What is the HCF of 4052 and 12576?
Calculate the HCF of 4052 and 12576 using the long division method?
List the methods to find HCF of 4052 and 12576.
If LCM = 12739488 and HCF = 4 for two numbers, find the other number when one number is 12576.
Consider y as the other number
Given LCM = 12739488 and HCF = 4
HCF × LCM = 12576 × y
y = (HCF × LCM)/ 12576
y = (4 × 12739488)/ 12576
y = 4052
Therefore, the other number is 4052.
Show the relation between HCF and LCM of 4052 and 12576.
The relation between HCF and LCM of 4052 and 12576 is
HCF × LCM = 4052 × 12576
HCF × LCM = 50957952
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