When we talk about the HCF of 6 and 9 , the answer is 3 . The HCF is the largest number that can divide both 6 and 9 without leaving a remainder. The factors of 6 are 1, 2, 3, and 6, while the factors of 9 are 1, 3, and 9. There are three popular methods to determine the HCF of 6 and 9: listing common factors, prime factorisation, and long division.
Further Reading: Highest Common Factor
The HCF of 6 and 9 is 3, and there are various ways to arrive at this solution. The HCF of any two or more numbers is the greatest factor common to all of them.
The three commonly used methods to calculate the HCF of 6 and 9 are as follows:
The prime factorisation of 6 and 9 is as follows:
Prime factorisation of 6 = (2 × 3)
Prime factorisation of 9 = (3 × 3)
The common prime factor of 6 and 9 is 3.
Therefore, the HCF of 6 and 9 is 3.
HCF (6, 9) = 3
The HCF of 6 and 9 is the divisor we get when the remainder becomes 0 after repeatedly executing long division.
No further division can be done.
Therefore, HCF (6, 9) =3
To find the HCF of 6 and 9 by listing the common factors, we list down the factors as follows:
Factors of 6: 1, 2, 3, 6
Factors of 9: 1, 3, 9
The common factors of 6 and 9 are 1 and 3. Hence, the highest common factor of 6 and 9 is 3.
Let's illustrate this with an example. If we want to find the highest number that can divide 6 and 9 without leaving a remainder, we are essentially looking for the HCF of 6 and 9.
Let's list the factors of 6 and 9:
Factors of 6 = 1, 2, 3, 6
Factors of 9 = 1, 3, 9
Hence, the HCF of 6 and 9 is 3.
What is the HCF of 6 and 9?
The HCF of 6 and 9 is 3. To calculate the HCF of 6 and 9, we need to factor each number (factors of 6 = 1, 2, 3, 6; factors of 9 = 1, 3, 9) and choose the highest factor that exactly divides both 6 and 9, i.e. 3.
How to find the HCF of 6 and 9 by long division method?
To find the HCF of 6, 9 using the long division method, 9 is divided by 6. The corresponding divisor (3) when remainder equals 0 is taken as HCF.
What are the methods to find HCF of 6 and 9?
There are three commonly used methods to find the HCF of 6 and 9. They are: By Long Division, By Listing Common Factors, By Prime Factorisation.
How to find the HCF of 6 and 9 by prime factorisation?
To find the HCF of 6 and 9, we will find the prime factorization of the given numbers, i.e. 6 = 2 × 3; 9 = 3 × 3. Since 3 is the only common prime factor of 6 and 9, the HCF (6, 9) = 3.
What is the relation between LCM and HCF of 6, 9?
The following equation can be used to express the relation between LCM (Least Common Multiple) and HCF of 6 and 9, i.e. HCF × LCM = 6 × 9 = 54.