HCF of 0 and 6
HCF of 0 and 6 would be the largest possible number that divides 0 and 6 exactly without any remainder. Factors of 0 and 6 are (1, 2, 3, 4, 5, 6, 7, . . .) and (1, 2, 3, 6) respectively. The different methods that can be used to calculate the HCF of 0 and 6 are Euclid's algorithm and listing common factors.
1.  HCF of 0 and 6 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 0 and 6?
Answer: HCF of 0 and 6 is 6.
Explanation:
The HCF of two integers, x(0) and y(6), is the highest possible integer m(6) that divides both x(0) and y(6) without any remainder.
Methods to Find HCF of 0 and 6
The methods to find the HCF of 0 and 6 are explained below.
 Using Euclid's Algorithm
 Listing Common Factors
HCF of 0 and 6 by Euclidean Algorithm
As per the Euclidean Algorithm, HCF(X, Y) = HCF(Y, X mod Y)
where X > Y and mod is the modulo operator.
Here X = 6 and Y = 0
∵ HCF(X, 0) = X, where X ≠ 0
⇒ HCF(6, 0) = 6
Therefore, the value of HCF of 0 and 6 is 6.
HCF of 0 and 6 by Listing Common Factors
 Factors of 0: 1, 2, 3, 4, 5, 6, 7, . . .
[∵ 0/n = 0, ⇒ Every nonzero integer n is considered as a factor of 0.]  Factors of 6: 1, 2, 3, 6
6 is a number that divides both 0 and 6 completely without leaving any remainder. Therefore, the highest common factor of 0 and 6 is 6.
☛ Also Check:
 HCF of 4 and 10 = 2
 HCF of 40, 42 and 45 = 1
 HCF of 106, 159 and 265 = 53
 HCF of 657 and 963 = 9
 HCF of 40 and 80 = 40
HCF of 0 and 6 Examples

Example 1: Find the highest number that divides 0 and 6 exactly.
Solution:
The highest number that divides 0 and 6 exactly is their highest common factor, i.e. HCF of 0 and 6.
⇒ Factors of 0 and 6:Factors of 0 = 1, 2, 3, 4, 5, 6, 7, . . .
[∵ 0/n = 0, ⇒ Every nonzero integer n is considered as a factor of 0.]
Factors of 6 = 1, 2, 3, 6
Therefore, the HCF of 0 and 6 is 6. 
Example 2: Which of the following numbers is the HCF of 0 and 6?
a) 0 b) 1 c) 6 d) 3Solution:
The HCF of 0 and 6 is the number that divides both 0 and 6 exactly without leaving any remainder. The only number that satisfies the given condition is 6.
Therefore, HCF(0, 6) = 6.
FAQs on HCF of 0 and 6
What is the HCF of 0 and 6?
The HCF of 0 and 6 is 6. To calculate the HCF (Highest Common Factor) of 0 and 6, we need to factor each number (factors of 0 = 1, 2, 3, 4, 5, 6, . . .; factors of 6 = 1, 2, 3, 6) and choose the highest factor that exactly divides both 0 and 6, i.e., 6.
What are the Methods to Find HCF of 0 and 6?
There are two commonly used methods to find the HCF of 0 and 6.
 By Listing Common Factors
 By Euclidean Algorithm
How to Find the HCF of 0 and 6 by Listing Factors?
We know, 0/n = 0, where n ≠ 0 ⇒ Every nonzero integer n is considered as a factor of 0. ∴Factors of 0: 1, 2, 3, 4, 5, 6, 7, . . . Also, Factors of 6: 1, 2, 3, 6. Therefore, 6 divides both 0 and 6 without leaving any remainder. ⇒HCF(0, 6) = 6.
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