HCF of 4 and 5
HCF of 4 and 5 is the largest possible number that divides 4 and 5 exactly without any remainder. The factors of 4 and 5 are 1, 2, 4 and 1, 5 respectively. There are 3 commonly used methods to find the HCF of 4 and 5  Euclidean algorithm, long division, and prime factorization.
1.  HCF of 4 and 5 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 4 and 5?
Answer: HCF of 4 and 5 is 1.
Explanation:
The HCF of two nonzero integers, x(4) and y(5), is the highest positive integer m(1) that divides both x(4) and y(5) without any remainder.
Methods to Find HCF of 4 and 5
The methods to find the HCF of 4 and 5 are explained below.
 Long Division Method
 Listing Common Factors
 Using Euclid's Algorithm
HCF of 4 and 5 by Long Division
HCF of 4 and 5 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 5 (larger number) by 4 (smaller number).
 Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (4) by the remainder (1).
 Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (1) is the HCF of 4 and 5.
HCF of 4 and 5 by Listing Common Factors
 Factors of 4: 1, 2, 4
 Factors of 5: 1, 5
Since, 1 is the only common factor between 4 and 5. The highest common factor of 4 and 5 is 1.
HCF of 4 and 5 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 = 5 and Y = 4
 HCF(5, 4) = HCF(4, 5 mod 4) = HCF(4, 1)
 HCF(4, 1) = HCF(1, 4 mod 1) = HCF(1, 0)
 HCF(1, 0) = 1 (∵ HCF(X, 0) = X, where X ≠ 0)
Therefore, the value of HCF of 4 and 5 is 1.
☛ Also Check:
 HCF of 867 and 255 = 51
 HCF of 14 and 16 = 2
 HCF of 1651 and 2032 = 127
 HCF of 336 and 54 = 6
 HCF of 294, 252 and 210 = 42
 HCF of 9 and 12 = 3
 HCF of 36 and 48 = 12
HCF of 4 and 5 Examples

Example 1: Find the highest number that divides 4 and 5 exactly.
Solution:
The highest number that divides 4 and 5 exactly is their highest common factor, i.e. HCF of 4 and 5.
⇒ Factors of 4 and 5: Factors of 4 = 1, 2, 4
 Factors of 5 = 1, 5
Therefore, the HCF of 4 and 5 is 1.

Example 2: Find the HCF of 4 and 5, if their LCM is 20.
Solution:
∵ LCM × HCF = 4 × 5
⇒ HCF(4, 5) = (4 × 5)/20 = 1
Therefore, the highest common factor of 4 and 5 is 1. 
Example 3: The product of two numbers is 20. If their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 20
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 20/1
Therefore, the LCM is 20.
FAQs on HCF of 4 and 5
What is the HCF of 4 and 5?
The HCF of 4 and 5 is 1. To calculate the HCF of 4 and 5, we need to factor each number (factors of 4 = 1, 2, 4; factors of 5 = 1, 5) and choose the highest factor that exactly divides both 4 and 5, i.e., 1.
How to Find the HCF of 4 and 5 by Prime Factorization?
To find the HCF of 4 and 5, we will find the prime factorization of the given numbers, i.e. 4 = 2 × 2; 5 = 5.
⇒ There is no common prime factor for 4 and 5. Hence, HCF (4, 5) = 1.
☛ Prime Numbers
How to Find the HCF of 4 and 5 by Long Division Method?
To find the HCF of 4, 5 using long division method, 5 is divided by 4. The corresponding divisor (1) when remainder equals 0 is taken as HCF.
What are the Methods to Find HCF of 4 and 5?
There are three commonly used methods to find the HCF of 4 and 5.
 By Long Division
 By Prime Factorization
 By Listing Common Factors
What is the Relation Between LCM and HCF of 4, 5?
The following equation can be used to express the relation between Least Common Multiple and HCF of 4 and 5, i.e. HCF × LCM = 4 × 5.
If the HCF of 5 and 4 is 1, Find its LCM.
HCF(5, 4) × LCM(5, 4) = 5 × 4
Since the HCF of 5 and 4 = 1
⇒ 1 × LCM(5, 4) = 20
Therefore, LCM = 20
☛ Highest Common Factor Calculator
visual curriculum