HCF of 3 and 4
HCF of 3 and 4 is the largest possible number that divides 3 and 4 exactly without any remainder. The factors of 3 and 4 are 1, 3 and 1, 2, 4 respectively. There are 3 commonly used methods to find the HCF of 3 and 4  Euclidean algorithm, prime factorization, and long division.
1.  HCF of 3 and 4 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 3 and 4?
Answer: HCF of 3 and 4 is 1.
Explanation:
The HCF of two nonzero integers, x(3) and y(4), is the highest positive integer m(1) that divides both x(3) and y(4) without any remainder.
Methods to Find HCF of 3 and 4
The methods to find the HCF of 3 and 4 are explained below.
 Long Division Method
 Prime Factorization Method
 Listing Common Factors
HCF of 3 and 4 by Long Division
HCF of 3 and 4 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 4 (larger number) by 3 (smaller number).
 Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (3) by the remainder (1).
 Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (1) is the HCF of 3 and 4.
HCF of 3 and 4 by Prime Factorization
Prime factorization of 3 and 4 is (3) and (2 × 2) respectively. As visible, there are no common prime factors between 3 and 4, i.e. they are coprime. Hence, the HCF of 3 and 4 will be 1.
HCF of 3 and 4 by Listing Common Factors
 Factors of 3: 1, 3
 Factors of 4: 1, 2, 4
Since, 1 is the only common factor between 3 and 4. The highest common factor of 3 and 4 is 1.
☛ Also Check:
 HCF of 6 and 10 = 2
 HCF of 18 and 42 = 6
 HCF of 87 and 145 = 29
 HCF of 396 and 1080 = 36
 HCF of 20 and 35 = 5
 HCF of 7 and 11 = 1
 HCF of 18 and 45 = 9
HCF of 3 and 4 Examples

Example 1: Find the HCF of 3 and 4, if their LCM is 12.
Solution:
∵ LCM × HCF = 3 × 4
⇒ HCF(3, 4) = (3 × 4)/12 = 1
Therefore, the highest common factor of 3 and 4 is 1. 
Example 2: The product of two numbers is 12. If their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 12
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 12/1
Therefore, the LCM is 12. 
Example 3: For two numbers, HCF = 1 and LCM = 12. If one number is 4, find the other number.
Solution:
Given: HCF (y, 4) = 1 and LCM (y, 4) = 12
∵ HCF × LCM = 4 × (y)
⇒ y = (HCF × LCM)/4
⇒ y = (1 × 12)/4
⇒ y = 3
Therefore, the other number is 3.
FAQs on HCF of 3 and 4
What is the HCF of 3 and 4?
The HCF of 3 and 4 is 1. To calculate the Highest common factor of 3 and 4, we need to factor each number (factors of 3 = 1, 3; factors of 4 = 1, 2, 4) and choose the highest factor that exactly divides both 3 and 4, i.e., 1.
How to Find the HCF of 3 and 4 by Prime Factorization?
To find the HCF of 3 and 4, we will find the prime factorization of the given numbers, i.e. 3 = 3; 4 = 2 × 2.
⇒ There is no common prime factor for 3 and 4. Hence, HCF (3, 4) = 1.
☛ What are Prime Numbers?
What are the Methods to Find HCF of 3 and 4?
There are three commonly used methods to find the HCF of 3 and 4.
 By Prime Factorization
 By Long Division
 By Euclidean Algorithm
If the HCF of 4 and 3 is 1, Find its LCM.
HCF(4, 3) × LCM(4, 3) = 4 × 3
Since the HCF of 4 and 3 = 1
⇒ 1 × LCM(4, 3) = 12
Therefore, LCM = 12
☛ HCF Calculator
How to Find the HCF of 3 and 4 by Long Division Method?
To find the HCF of 3, 4 using long division method, 4 is divided by 3. The corresponding divisor (1) when remainder equals 0 is taken as HCF.
What is the Relation Between LCM and HCF of 3, 4?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 3 and 4, i.e. HCF × LCM = 3 × 4.
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