The HCF of 17 and 19 is 1. We can calculate the HCF of 17 and 19 through three common methods: Listing common factors, Prime factorisation, and Long division. The HCF or Highest Common Factor is the largest number that can divide both 17 and 19 without leaving any remainder. The factors of 17 are 1 and 17, while the factors of 19 are 1 and 19.
Also read: Highest common factor
The HCF of 17 and 19 is 1. This article will guide you on how to calculate the HCF of 17 and 19 using various methods. The Highest Common Factor (HCF) of two or more numbers is their greatest common factor.
Here are the three methods to calculate the HCF of 17 and 19:
The prime factorisation of 17 and 19 is as follows:
Prime factorisation of 17 = 17
Prime factorisation of 19 = 19
Therefore, the HCF of 17 and 19 is 1.
HCF (17, 19) = 1
The divisor we get when the remainder is 0 after performing long division repeatedly is the HCF of 17 and 19.
We cannot perform further division.
Hence, HCF (17, 19) = 1
To find 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
As 1 is the only common factor in 17 and 19, the Highest Common Factor of 17 and 19 is 1.
Question: If the product of two numbers is 323 and their HCF is 1, what is their LCM?
Solution:
Given: HCF = 1 and product of numbers = 323
We know that LCM × HCF = product of numbers
Therefore, LCM = Product/HCF = 323/1 = 323
What is the HCF of 17 and 19?
The HCF of 17 and 19 is 1. To calculate the Highest Common Factor of 17 and 19, we need to factor each number (factors of 17 = 1, 17; factors of 19 = 1, 19) and choose the highest factor that exactly divides both 17 and 19 .i.e 1.
What is the relation between LCM and HCF of 17 and 19?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF(Highest Common Factor) of 17 and 19 .i.e HCF × LCM = 17 × 19.
How to find the HCF of 17 and 19 by prime factorisation?
To find the HCF of 17 and 19, we need to find the prime factorisation of the given numbers .i.e 17 = 17; 19 = 19. 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.
HCF (19, 17) × LCM (19, 17) = 19 × 17. The HCF of 19 and 17 = 1. Therefore, LCM = 323.
What are the methods to find the HCF of 17 and 19?
There are three commonly used methods to find the HCF of 17 and 19. They are: Long Division, Listing Common Factors, Prime Factorisation.