HCF of 4 and 9
HCF of 4 and 9 is the largest possible number that divides 4 and 9 exactly without any remainder. The factors of 4 and 9 are 1, 2, 4 and 1, 3, 9 respectively. There are 3 commonly used methods to find the HCF of 4 and 9  prime factorization, Euclidean algorithm, and long division.
1.  HCF of 4 and 9 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 4 and 9?
Answer: HCF of 4 and 9 is 1.
Explanation:
The HCF of two nonzero integers, x(4) and y(9), is the highest positive integer m(1) that divides both x(4) and y(9) without any remainder.
Methods to Find HCF of 4 and 9
The methods to find the HCF of 4 and 9 are explained below.
 Listing Common Factors
 Prime Factorization Method
 Long Division Method
HCF of 4 and 9 by Listing Common Factors
 Factors of 4: 1, 2, 4
 Factors of 9: 1, 3, 9
Since, 1 is the only common factor between 4 and 9. The highest common factor of 4 and 9 is 1.
HCF of 4 and 9 by Prime Factorization
Prime factorization of 4 and 9 is (2 × 2) and (3 × 3) respectively. As visible, there are no common prime factors between 4 and 9, i.e. they are coprime. Hence, the HCF of 4 and 9 will be 1.
HCF of 4 and 9 by Long Division
HCF of 4 and 9 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 9 (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 9.
☛ Also Check:
 HCF of 90 and 120 = 30
 HCF of 4 and 6 = 2
 HCF of 36 and 63 = 9
 HCF of 84 and 144 = 12
 HCF of 36, 42 and 48 = 6
 HCF of 2, 3 and 4 = 1
 HCF of 4 and 16 = 4
HCF of 4 and 9 Examples

Example 1: The product of two numbers is 36. If their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 36
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 36/1
Therefore, the LCM is 36. 
Example 2: Find the highest number that divides 4 and 9 exactly.
Solution:
The highest number that divides 4 and 9 exactly is their highest common factor, i.e. HCF of 4 and 9.
⇒ Factors of 4 and 9: Factors of 4 = 1, 2, 4
 Factors of 9 = 1, 3, 9
Therefore, the HCF of 4 and 9 is 1.

Example 3: For two numbers, HCF = 1 and LCM = 36. If one number is 9, find the other number.
Solution:
Given: HCF (y, 9) = 1 and LCM (y, 9) = 36
∵ HCF × LCM = 9 × (y)
⇒ y = (HCF × LCM)/9
⇒ y = (1 × 36)/9
⇒ y = 4
Therefore, the other number is 4.
FAQs on HCF of 4 and 9
What is the HCF of 4 and 9?
The HCF of 4 and 9 is 1. To calculate the Highest common factor of 4 and 9, we need to factor each number (factors of 4 = 1, 2, 4; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 4 and 9, i.e., 1.
How to Find the HCF of 4 and 9 by Long Division Method?
To find the HCF of 4, 9 using long division method, 9 is divided by 4. The corresponding divisor (1) when remainder equals 0 is taken as HCF.
How to Find the HCF of 4 and 9 by Prime Factorization?
To find the HCF of 4 and 9, we will find the prime factorization of the given numbers, i.e. 4 = 2 × 2; 9 = 3 × 3.
⇒ There is no common prime factor for 4 and 9. Hence, HCF (4, 9) = 1.
☛ What is a Prime Number?
What is the Relation Between LCM and HCF of 4, 9?
The following equation can be used to express the relation between Least Common Multiple and HCF of 4 and 9, i.e. HCF × LCM = 4 × 9.
If the HCF of 9 and 4 is 1, Find its LCM.
HCF(9, 4) × LCM(9, 4) = 9 × 4
Since the HCF of 9 and 4 = 1
⇒ 1 × LCM(9, 4) = 36
Therefore, LCM = 36
☛ HCF Calculator
What are the Methods to Find HCF of 4 and 9?
There are three commonly used methods to find the HCF of 4 and 9.
 By Prime Factorization
 By Long Division
 By Listing Common Factors
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