The HCF of 17 and 19 is 1. The listing common factors, prime factorisation and long division are the three most frequent methods used for calculating the HCF of 17 and 19. The greatest number that divides 17 and 19 perfectly, leaving zero as remainder, is known as the HCF of 17 and 19. 17 and 19 have the factors 1, 17, and 1, 19, respectively.
Also read: Highest common factor
What is the HCF of 17 and 19?
The answer to this question is 1. This article shows how to find the HCF of 17 and 19 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 17 and 19?
There are three methods to find the HCF of 17 and 19:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 17 and 19 by Prime Factorisation Method
The prime factorisation of 17 and 19 is given by:
Prime factorisation of 17 = 17
Prime factorisation of 19 = 19
Hence, the HCF of 17 and 19 is 1.
HCF (17, 19) = 1
HCF of 17 and 19 by Long Division Method
The divisor that we receive when the remainder is 0 after doing long division repeatedly is the HCF of 17 and 19.
No further division can be done.
Hence, HCF (17, 19) = 1
HCF of 17 and 19 by Listing Common Factors
To calculate the HCF of 17 and 19 by listing common factors, list the factors as shown below:
Factors of 17: 1, 17
Factors of 19: 1, 19
Since 1 is the only common factor in 17 and 19, the Highest Common Factor of 17 and 19 is 1.
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Video Lesson on Properties of HCF and LCM
HCF of 17 and 19 Solved Example
Question: The product of the two numbers is 323. If their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 323
LCM × HCF = product of numbers
LCM = Product/HCF = 323/1
Therefore, the LCM is 323.
Frequently Asked Questions on HCF of 17 and 19
What is the HCF of 17 and 19?
What is the relation between LCM and HCF of 17 and 19?
How to find the HCF of 17 and 19 by prime factorisation?
⇒ There is no common prime factor for 17 and 19. Hence, HCF (17, 19) = 1.
If the HCF of 19 and 17 is 1, find its LCM.
The HCF of 19 and 17 = 1
⇒ 1 × LCM(19, 17) = 323
Therefore, LCM = 323
What are the methods to find the HCF of 17 and 19?
Long Division
Listing Common Factors
Prime Factorisation
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