HCF of 92 and 152

HCF of 92 and 152 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). HCF can also be evaluated for two or more numbers.

In this article, we will learn about how to find HCF of 92 and 152, what is HCF, finding HCF by prime factorization method, listing common factors and by long division method, HCF vs LCM OF 92 and 152 along with some solved example, practice problem, and FAQs.

What is HCF of 92 and 152?

HCF of 92 and 152 is 4

HCF of two numbers is the highest number that divides both the numbers without leaving any remainder. Thus, 4 is the highest number that can divide 92 and 152 without leaving any remainder.

Proceeding further we must first know What is HCF?

What is HCF?

Full form of HCF is Highest Common Factor. The HCF of two numbers is the highest factor which divides the two numbers, evenly. HCF can be evaluated in two or more than two numbers. It is the greatest divisor for any two or more numbers, which can be equally or completely divide the given numbers

In simple words, the HCF (Highest Common Factor) of two natural numbers 92 and 152 is the largest possible number that divides both 92 and 152. Let us understand this HCF definition using two numbers, 18 and 27. The common factors of 18 and 27 are 1, 3, and 9. Among these numbers, 9 is the highest (largest) number. So, the HCF of 18 and 27 is 9. This is written as: HCF (18, 27) = 9.

HCF of 92 and 152 Calculator

How to find HCF of 92 and 152

Some of the methods of finding HCF of 92 and 152 by:

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

HCF of 92 and 152 by Prime Factorization Method

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

Step 1: Write each number as a product of its prime factors

Step 2: Now write the common factors of the two numbers

Step 3: Product of all common prime factors is HCF

Prime factor of 92 and 152 are,

92 = 2 × 2 × 23

152 = 2 × 2 × 2 × 19

HCF (95, 152) = 2 × 2 = 4 (Since 4 is common factor of 92 and 152)

Learn more about, Prime Factorization Method

HCF of 92 and 152 By Listing Common Factors

Listing Common Factor means identifying the numbers that can evenly divide two or more numbers. By listing common factor of 92 and 152 we can start by listing the factors of each number:

Factor of 92: 1, 2, 4,23, 46, 92

Factor of 152: 1, 2, 4, 8,1 9, 38, 76, 152

HCF = 4 (Since 4 is the highest common factor)

HCF of 92 and 152 By Long Division

Below are the steps for finding HCF of 92 and 152 by Long Division method:

Step 1: Divide the larger number by the smaller one.

Step 2: Replace the larger number with the smaller one and the smaller number with the Remainder.

Step 3: Repeat step 1 and 2 until we get a remainder of 0.

HCF vs LCM of 92 and 152

Highest Common Factor of 92 and 152 is 4 and Least Common Factor of 92 and 152 is 3496.

Also, LCM × HCF = Product of Two Numbers

92 = 2 × 2 × 23

152 = 2 × 2 × 2 × 19

LCM (92, 152) = 19 × 2 × 2 × 2 × 23 = 3496

HCF (92, 152) = 2² = 4

Example on HCF of 92 and 152

Some Examples on HCF are,

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

Solution:

LCM × HCF = Product of Numbers

LCM = Product/HCF = 14440/19

Therefore, the LCM is 760

Example 2: Find the highest number that divides 92 and 152 exactly.

Solution:

Highest number that divides 92 and 152 exactly is their HCF

92 = 2 × 2 × 23

152 = 2 × 2 × 2 × 19

HCF (92, 152) = 2² = 4

Example 3: For two numbers, HCF = 10 and LCM = 92. If one number is 920, find the other number.

Solution:

HCF × LCM = 92 × x

⇒ x = (HCF × LCM)/92

⇒ x = (10 × 920)/92

⇒ x = 100

Practice Problems on HCF

Some practice problems on HCF are,

P1. Find HCF of 92 and 118.

P2. GCD and LCM of two numbers are 22 and 94 respectively. If one number is 24, find the other number.

P3. Find LCM and HCF of 65 and 96.

P4. Product of two numbers is 26382. If their HCF is 6, what is their LCM?

FAQs on HCF of 92 and 152

What is HCF of 92 and 152?

HCF of 92 and 152 is 4.

What are Methods used to find HCF of 92 and 152?

Methods used to find tHCF of 92 and 152 are:

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

What are GCF and LCM of 92 and 152?

Greatest Common Factor of 92 and 152 is 4 and Least Common Multiple of 92 and 152 is 3496.