HCF of 16 and 27
HCF of 16 and 27 is the largest possible number that divides 16 and 27 exactly without any remainder. The factors of 16 and 27 are 1, 2, 4, 8, 16 and 1, 3, 9, 27 respectively. There are 3 commonly used methods to find the HCF of 16 and 27  prime factorization, Euclidean algorithm, and long division.
1.  HCF of 16 and 27 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is HCF of 16 and 27?
Answer: HCF of 16 and 27 is 1.
Explanation:
The HCF of two nonzero integers, x(16) and y(27), is the highest positive integer m(1) that divides both x(16) and y(27) without any remainder.
Methods to Find HCF of 16 and 27
Let's look at the different methods for finding the HCF of 16 and 27.
 Listing Common Factors
 Long Division Method
 Prime Factorization Method
HCF of 16 and 27 by Listing Common Factors
 Factors of 16: 1, 2, 4, 8, 16
 Factors of 27: 1, 3, 9, 27
Since, 1 is the only common factor between 16 and 27. The highest common factor of 16 and 27 is 1.
HCF of 16 and 27 by Long Division
HCF of 16 and 27 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.
 Step 1: Divide 27 (larger number) by 16 (smaller number).
 Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (16) by the remainder (11).
 Step 3: Repeat this process until the remainder = 0.
The corresponding divisor (1) is the HCF of 16 and 27.
HCF of 16 and 27 by Prime Factorization
Prime factorization of 16 and 27 is (2 × 2 × 2 × 2) and (3 × 3 × 3) respectively. As visible, there are no common prime factors between 16 and 27, i.e. they are coprime. Hence, the HCF of 16 and 27 will be 1.
☛ Also Check:
 HCF of 196 and 38220 = 196
 HCF of 441, 567 and 693 = 63
 HCF of 36, 42 and 48 = 6
 HCF of 8 and 15 = 1
 HCF of 8, 9 and 25 = 1
 HCF of 1651 and 2032 = 127
 HCF of 657 and 963 = 9
HCF of 16 and 27 Examples

Example 1: The product of two numbers is 432. If their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 432
∵ LCM × HCF = product of numbers
⇒ LCM = Product/HCF = 432/1
Therefore, the LCM is 432. 
Example 2: For two numbers, HCF = 1 and LCM = 432. If one number is 27, find the other number.
Solution:
Given: HCF (z, 27) = 1 and LCM (z, 27) = 432
∵ HCF × LCM = 27 × (z)
⇒ z = (HCF × LCM)/27
⇒ z = (1 × 432)/27
⇒ z = 16
Therefore, the other number is 16. 
Example 3: Find the highest number that divides 16 and 27 exactly.
Solution:
The highest number that divides 16 and 27 exactly is their highest common factor, i.e. HCF of 16 and 27.
⇒ Factors of 16 and 27: Factors of 16 = 1, 2, 4, 8, 16
 Factors of 27 = 1, 3, 9, 27
Therefore, the HCF of 16 and 27 is 1.
FAQs on HCF of 16 and 27
What is the HCF of 16 and 27?
The HCF of 16 and 27 is 1. To calculate the HCF (Highest Common Factor) of 16 and 27, we need to factor each number (factors of 16 = 1, 2, 4, 8, 16; factors of 27 = 1, 3, 9, 27) and choose the highest factor that exactly divides both 16 and 27, i.e., 1.
How to Find the HCF of 16 and 27 by Prime Factorization?
To find the HCF of 16 and 27, we will find the prime factorization of the given numbers, i.e. 16 = 2 × 2 × 2 × 2; 27 = 3 × 3 × 3.
⇒ There is no common prime factor for 16 and 27. Hence, HCF (16, 27) = 1.
☛ Prime Number
What are the Methods to Find HCF of 16 and 27?
There are three commonly used methods to find the HCF of 16 and 27.
 By Listing Common Factors
 By Prime Factorization
 By Long Division
If the HCF of 27 and 16 is 1, Find its LCM.
HCF(27, 16) × LCM(27, 16) = 27 × 16
Since the HCF of 27 and 16 = 1
⇒ 1 × LCM(27, 16) = 432
Therefore, LCM = 432
☛ Highest Common Factor Calculator
How to Find the HCF of 16 and 27 by Long Division Method?
To find the HCF of 16, 27 using long division method, 27 is divided by 16. The corresponding divisor (1) when remainder equals 0 is taken as HCF.
What is the Relation Between LCM and HCF of 16, 27?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 16 and 27, i.e. HCF × LCM = 16 × 27.
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