HCF of 12 and 18

Define HCF.

Highest Common Factor (HCF), also known simply as the greatest common divisor or greatest common denominator, refers to the largest positive integer that divides two given integers without leaving any remainder.

What is LCM?

Least Common Multiple (LCM) of two integers is the smallest positive multiple that is divisible by both numbers.

What is the LCM of 12 and 18?

LCM of 12 and 18 is 36.

Is HCF(12, 18) greater than LCM(12, 18)?

As HCF(12, 18) = 6 and LCM(12, 18) = 36.

Thus, HCF (12, 18) is not greater than LCM(12, 18).

What is the Relationship between HCF and LCM?

For any two number x and y relationships between HCF and LCM is: HCF(x, y) × LCM(x, y) = xy.

How to Calculate HCF?

There are many methods to calculate HCF i.e.,

• Prime Factorization
• Listing Multiples
• Euclid’s Division Method

HCF of 12 and 18 is 6. HCF stands for Highest Common Factor, which is the largest positive integer that can divide two or more numbers without leaving any remainder. Finding the HCF of two numbers is useful for simplifying fractions, solving equations, and finding common multiples.

In this article, we will learn how to find the HCF of 12 and 18 by three different methods: prime factorization, long division, and listing common factors.