HCF of 96 and 404

HCF of 96 and 404 is 4

HCF or Highest Common Factor is the greatest number that divides two or more numbers. HCF is also known as Greatest Common Measure (GCM) or Greatest Common Divisor (GCD). Since HCF of 96 and 404 is equal to 4 this means 4 is the largest number which can perfectly divide 96 and 404.

What is HCF of 96 and 404?

HCF of 96 and 404 is the largest possible common factor of 96 and 404 which can perfectly divide 96 and 404 without leaving any remainder. Hence, HCF of 96 and 404 is equal to 4. HCF is also called Greatest Common Divisor(GCD) or Greatest Common Factor(GCF). Hence, GCD or GCF of 96 and 404 is 4.

HCF of 96 and 404 Calculator

Try out the following calculator to find the HCF of 96 and 404.

How to Find HCF of 96 and 404

Following methods are used to find HCF of 96 and 404:

• Prime Factorization Method
• Listing Common Factors
• Long Division Method

HCF of 96 and 404 by Prime Factorization Method

Follow the below-given steps to find the HCF of numbers using the prime factorization method.

• Write each number as a product of prime factors. This method is called prime factorization.
• Now write the common factors of the two numbers
• The product of all common prime factors is the HCF

The prime factor of 96 and 404, respectively, are,

96 = 2 × 2 × 2 × 2 × 2 × 3

404 = 2 × 2 × 101

Since 2 × 2 is the common prime factor of 96 and 404

Hence, HCF of 96 and 404 is 4.

HCF of 96 and 404 by Listing Common Factor

Listing Common Factor means identifying the numbers or factors that can evenly divide two or more numbers.

By listing common factor of 96 and 404 we can start by listing the factors of 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

Therefore, HCF (96, 404) = 4

HCF of 96 and 404 by Long Division

Below are the steps for finding HCF of 96 and 404 by Long Division method:

• Divide the larger number by the smaller one.
• Replace the larger number with the smaller one and the smaller number with the Remainder.
• Repeat step 1 and 2 until we get a remainder of 0.

Here we find that the last divisor is 4 which give the remainder zero. Hence, divisor or 96 and 404 is 4

HCF and LCM of 96 and 404

HCF and LCM of 96 and 404 is 4 and 9696 respectively.

Also, LCM × HCF = Product of Two Numbers

• 96 = 2 × 2 × 2 × 2 × 2 × 3
• 404 = 2 × 2 × 101

LCM × HCF = 4 × 9696 = 38784

Product of Two Numbers = 38784

Hence, LCM × HCF = Product of 96 and 404

Solved Example on HCF of 96 and 404

Example 1: The product of two numbers is 14440. If their HCF is 19, what is their LCM?

Solution:

We know, LCM × HCF = product of numbers

LCM = Product/HCF = 14440/19

Therefore, the LCM is 760.

Example 2: Find the greatest number that divides 4 and 16.

Solution:

Factors of 4 are 1, 2 and 4.

Factors of 16 are 1, 2, 4, 8 and 16.

Common Factors of 4 and 16 are 1, 2 and 4. The Greatest Common Factor is 4. Hence, 4 is the GCF of 4 and 16.

Example 3: For two numbers, HCF = 9 and LCM = 90. If one number is 45, find the other number.

Solution:

HCF × LCM = 45 × x

⇒ x = (HCF × LCM)/45

⇒ x = (9 × 90)/45

⇒ x = 18

HCF of 96 and 404 Practice Problems

Q1. Find HCF of 44 and 8.

Q2. GCD and LCM of two numbers are 22 and 94 respectively. If one number is 24, find the other number.

Q3. Find LCM and HCF of 654 and 18

Q4. The product of two numbers is 54862. If their HCF is 8, what is their LCM?

HCF of 96 and 404 Frequently Asked Questions

What is HCF of 96 and 404?

The HCF of 96 and 404 is 4.

What are Methods Used to Find HCF of 92 and 152?

The methods used to find the LCM of 96 and 404 are:

• Prime Factorization Method
• Long Division Method
• Listing Common Factors

What are the GCF and LCM of 96 and 404 respectively?

Highest Common Factor of 96 and 404 is 4 and Least Common Factor of 96 and 404 is 9696.

What is Prime Factorization of 96 and 404?

Prime Factorization of 96 and 404 is

• 96 = 2 × 2 × 2 × 2 × 2 × 3
• 404 = 2 × 2 × 101