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.

Answer: HCF of 96 and 404 is 4.

Explanation:

The HCF of two non-zero integers, x(96) and y(404), is the highest positive integer m(4) that divides both x(96) and y(404) without any remainder.

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

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