HCF of 96 and 404
HCF of 96 and 404 is the largest possible number that divides 96 and 404 exactly without any remainder. The factors of 96 and 404 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 and 1, 2, 4, 101, 202, 404 respectively. There are 3 commonly used methods to find the HCF of 96 and 404  Euclidean algorithm, prime factorization, and long division.
1.  HCF of 96 and 404 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 96 and 404?
Answer: HCF of 96 and 404 is 4.
Explanation:
The HCF of two nonzero integers, x(96) and y(404), is the highest positive integer m(4) that divides both x(96) and y(404) without any remainder.
Methods to Find HCF of 96 and 404
The methods to find the HCF of 96 and 404 are explained below.
 Listing Common Factors
 Prime Factorization Method
 Long Division Method
HCF of 96 and 404 by Listing Common Factors
 Factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
 Factors of 404: 1, 2, 4, 101, 202, 404
There are 3 common factors of 96 and 404, that are 1, 2, and 4. Therefore, the highest common factor of 96 and 404 is 4.
HCF of 96 and 404 by Prime Factorization
Prime factorization of 96 and 404 is (2 × 2 × 2 × 2 × 2 × 3) and (2 × 2 × 101) respectively. As visible, 96 and 404 have common prime factors. Hence, the HCF of 96 and 404 is 2 × 2 = 4.
HCF of 96 and 404 by Long Division
HCF of 96 and 404 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 404 (larger number) by 96 (smaller number).
 Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (96) by the remainder (20).
 Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (4) is the HCF of 96 and 404.
☛ Also Check:
 HCF of 56, 96 and 404 = 4
 HCF of 204, 1190 and 1445 = 17
 HCF of 45 and 180 = 45
 HCF of 81 and 237 = 3
 HCF of 8, 10 and 12 = 2
 HCF of 72, 126 and 168 = 6
 HCF of 1 and 3 = 1
HCF of 96 and 404 Examples

Example 1: For two numbers, HCF = 4 and LCM = 9696. If one number is 96, find the other number.
Solution:
Given: HCF (x, 96) = 4 and LCM (x, 96) = 9696
∵ HCF × LCM = 96 × (x)
⇒ x = (HCF × LCM)/96
⇒ x = (4 × 9696)/96
⇒ x = 404
Therefore, the other number is 404. 
Example 2: Find the HCF of 96 and 404, if their LCM is 9696.
Solution:
∵ LCM × HCF = 96 × 404
⇒ HCF(96, 404) = (96 × 404)/9696 = 4
Therefore, the highest common factor of 96 and 404 is 4. 
Example 3: Find the highest number that divides 96 and 404 exactly.
Solution:
The highest number that divides 96 and 404 exactly is their highest common factor, i.e. HCF of 96 and 404.
⇒ Factors of 96 and 404: Factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
 Factors of 404 = 1, 2, 4, 101, 202, 404
Therefore, the HCF of 96 and 404 is 4.
FAQs on HCF of 96 and 404
What is the HCF of 96 and 404?
The HCF of 96 and 404 is 4. To calculate the HCF (Highest Common Factor) of 96 and 404, we need to factor each number (factors of 96 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96; factors of 404 = 1, 2, 4, 101, 202, 404) and choose the highest factor that exactly divides both 96 and 404, i.e., 4.
How to Find the HCF of 96 and 404 by Prime Factorization?
To find the HCF of 96 and 404, we will find the prime factorization of the given numbers, i.e. 96 = 2 × 2 × 2 × 2 × 2 × 3; 404 = 2 × 2 × 101.
⇒ Since 2, 2 are common terms in the prime factorization of 96 and 404. Hence, HCF(96, 404) = 2 × 2 = 4
☛ What are Prime Numbers?
How to Find the HCF of 96 and 404 by Long Division Method?
To find the HCF of 96, 404 using long division method, 404 is divided by 96. The corresponding divisor (4) when remainder equals 0 is taken as HCF.
What are the Methods to Find HCF of 96 and 404?
There are three commonly used methods to find the HCF of 96 and 404.
 By Prime Factorization
 By Long Division
 By Euclidean Algorithm
What is the Relation Between LCM and HCF of 96, 404?
The following equation can be used to express the relation between Least Common Multiple (LCM) and HCF of 96 and 404, i.e. HCF × LCM = 96 × 404.
If the HCF of 404 and 96 is 4, Find its LCM.
HCF(404, 96) × LCM(404, 96) = 404 × 96
Since the HCF of 404 and 96 = 4
⇒ 4 × LCM(404, 96) = 38784
Therefore, LCM = 9696
☛ Highest Common Factor Calculator
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