The HCF of 16 and 27 is 1. The factors of 16 are 1, 2, 4, 8, 16, and the factors of 27 are 1, 3, 9, 27. Clearly, 1 is the only common factor in both 16 and 27. Hence, we can conclude that the Highest Common Factor of 16 and 27 is 1. Students are recommended to use the article HCF to obtain a thorough knowledge of the HCF concept. Following this article on a daily basis also boosts confidence in students to solve any type of problem in the most efficient possible ways. Let us have a look at the simple techniques to calculate the Highest Common Factor of 16 and 27 with a complete explanation in this article.
What is the HCF of 16 and 27?
The Highest Common Factor (HCF) of 16 and 27 is 1. This article describes the simple steps of how to find the Highest Common Factor of 16 and 27 using different methods.
How to Find HCF of 16 and 27?
Let us look at the methods used to find the HCF of 16 and 27.
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 16 and 27 by Prime Factorisation Method
In prime factorisation, the numbers can be expressed as the product of prime factors. Here, the numbers 16 and 27 are expressed as:
16 = 2 × 2 × 2 × 2
27 = 3 × 3 × 3
There is no common prime factor between 16 and 27.
Therefore,
HCF of (16, 27) = 1
HCF of 16 and 27 by Long Division Method
Go through the steps given below to find the Highest Common Factor of 16 and 27 using the long division method.
Step 1: Divide the largest number by the smallest among the given two numbers
Step 2: Check the remainder; if it is not zero, then make it a new divisor and mention the previous divisor as the new dividend and continue the division process.
Step 3: Repeat this process until we get the remainder equal to zero. The last divisor is considered as the HCF of the given two numbers.
The HCF of 16 and 27 by using the long division method is:
HCF (16, 27) = 1
HCF of 16 and 27 by Listing Common Factors
In this method, we list out the factors of given numbers and choose the largest of all the common prime factors to find their HCF. The factors of 16 and 27 are given below.
Factors of 16: 1, 2, 4, 8, 16
Factors of 27: 1, 3, 9, 27
Hence, HCF (16, 27) = 1
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Video Lesson on Properties of HCF and LCM
Solved Example
Question: Find the LCM if the product of two numbers is 432 and their HCF is 1.
Solution: Given
HCF = 1
Product of two numbers = 432
We know that
LCM × HCF = Product of two numbers
LCM × 1 = 432
LCM = 432/1
LCM = 432
Therefore, the LCM is 432.
Frequently Asked Questions on HCF of 16 and 27
What is the HCF of 16 and 27?
Mention the methods to find the HCF of 16 and 27.
There are three methods to find the HCF of 16 and 27. They are as follows:
Prime Factorisation
Long Division method
Listing common factors
Is 432 the LCM of 16 and 27?
Write the relation between LCM and HCF of 16 and 27.
The following equation can be used to express the relation between LCM and HCF of 16 and 27.
HCF × LCM = 16 × 27
Determine the HCF of 16 and 27 by using the prime factorisation method.
To find the HCF of 16 and 27 using prime factorisation, we express the given numbers as the product of prime factors.
16 = 2 × 2 × 2 × 2
27 = 3 × 3 × 3
The common prime factor of 16 and 27 is 1
Therefore, HCF of 16 and 27 is 1
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