The HCF of 18 and 48 is 6. The highest common factor is the greatest number, which divides the two or more numbers evenly. It is also called the greatest common divisor (GCD). BYJU’S subject experts have designed the article HCF to make students’ learning process more effective. Prime factorisation, long division method, and listing common factors are the three methods to find the HCF of given numbers. Let us learn in detail how to calculate the HCF of 18 and 48 in a descriptive manner here.
What is the HCF of 18 and 48?
The answer to this question is 6. There are four common factors of 18 and 48. They are 1, 2, 3, and 6. Therefore the Highest Common Factor of 18 and 48 is 6.
How to Find HCF of 18 and 48?
There are three methods to find the HCF of 18 and 48:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 18 and 48 by Prime Factorisation Method
Here, we write the numbers as the product of prime factors. To find the highest common factor, multiply all the common prime factors with the lowest degree (power).
18 = 2 × 3 × 3
48 = 2 × 2 × 2 × 2 × 3
Common prime factors of 18 and 48 are 2 and 3.
Therefore, HCF of (18, 48) = 2 × 3 = 6
HCF of 18 and 48 by Long Division Method
In the division method, we divide the largest number by the smallest among the given numbers until the remainder is zero. The last divisor will be the highest common factor of given numbers.
HCF (18, 48) = 6
HCF of 18 and 48 by Listing the Factors
Here, we can verify the highest common factor by listing all the factors of given numbers. The factors of 18 and 48 are as follows:
Factors of 18: 1, 2, 3, 6, 9,18
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Therefore, HCF (18, 48) = 6
Related Articles
Video Lesson on Properties of HCF and LCM
Solved Example
Question: The product of two numbers is 864. Calculate the LCM if their HCF is 6.
Solution: Given
HCF = 6
Product of numbers = 864
We know that,
LCM × HCF = Product of numbers
LCM = Product of numbers / HCF
LCM = 864 / 6
LCM = 144
Hence the LCM is 144.
Frequently Asked Questions on HCF of 18 and 48
What is the HCF of 18 and 48?
What are the methods used to find the HCF of 18 and 48?
There are three methods to find the HCF of 18 and 48. They are as follows:
Prime Factorisation
Long Division Method
Listing Common Factors
List the common factors of 18 and 48.
What is the LCM if the HCF of 18 and 48 is 6?
We know that
HCF × LCM = 18 × 48
Given
HCF = 6
6 × LCM = 18 × 48
LCM = 144
Hence, the LCM is 144
Mention the relation between LCM and HCF of 18 and 48.
The below equation is used to represent the relation between LCM and HCF of 18 and 48
HCF × LCM = 18 × 48
Comments