The HCF of 4052 and 420 is 4. The numbers 4052 and 420 can be divided exactly by the HCF. The factors of 4052 are 1, 2, 4, 1013, 2026, 4052, and the factors of 420 are 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420. The methods such as listing common factors, prime factorisation and long division are used in the calculation of HCF. The articles at BYJU’S are designed with the aim of providing a good learning experience for the students.
Also read: Highest common factor
What is the HCF of 4052 and 420?
The answer to this question is 4. The three methods used to find the HCF of 4052 and 420 are given here. The number which divides 4052 and 420 evenly denotes the HCF of 4052 and 420.
How to Find HCF of 4052 and 420?
The methods to find the HCF of 4052 and 420 are:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 4052 and 420 by Prime Factorisation Method
The prime factorisation of 4052 and 420 is:
4052 = 2 × 2 × 1013
420 = 2 × 2 × 3 × 5 × 7
The common prime factors of 4052 and 420 are 2, 2.
Hence, HCF (4052, 420) = 2 × 2 = 4
HCF of 4052 and 420 by Long Division Method
The numbers (4052, 420), which have to be divided by the factors, give the HCF of 4052 and 420. The value of the divisor, when the remainder is zero, is the HCF of 4052 and 420.
No further division can be done.
Hence, HCF (4052, 420) = 4
HCF of 4052 and 420 by Listing Common Factors
The HCF of 4052 and 420 by listing common factors is:
Factors of 4052: 1, 2, 4, 1013, 2026, 4052
Factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
There are 3 common factors of 4052 and 420, and they are 1, 2 and 4.
Therefore, the highest common factor of 4052 and 420 is 4.
Related Articles
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- Properties of HCF and LCM
- Prime Factorisation and Division Method for HCF and LCM
- Prime Factorisation
- GCD Calculator
Video Lesson on Properties of HCF and LCM
HCF of 4052 and 420 Solved Example
Question: If the product of two numbers = 1701840 and HCF = 4, find the LCM.
Solution:
Given
Product of two numbers = 1701840
HCF = 4
HCF × LCM = Product of two numbers
4 × LCM = 1701840
LCM = 1701840/4
LCM = 425460
Hence, the LCM is 425460.
Frequently Asked Questions on HCF of 4052 and 420
Calculate the HCF of 4052 and 420 if the LCM is 425460.
Given
LCM = 425460
LCM × HCF = 4052 × 420
HCF = (4052 × 420)/ 425460
HCF = 4
Calculate the HCF of 4052 and 420 using the long division method.
Write the methods used to find HCF of 4052 and 420.
What is the HCF of 4052 and 420?
What is the relation between HCF and LCM of 4052 and 420?
The relation between HCF and LCM of 4052 and 420 is:
HCF × LCM = 4052 × 420
HCF × LCM = 1701840
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