HCF of 9 and 11

The HCF of 9 and 11 is 1. The Highest Common Factor (HCF) of 9 and 11 is defined as the largest number that divides both 9 and 11 evenly. Practising the HCF problems with the help of the article designed by expert teachers boosts the confidence of students to solve any type of problem in exams easily. Refer to the article HCF of Two Numbers to enhance the skills of how to calculate the Highest Common Factor of given numbers. Learn the technique of how to verify the Highest Common Factor of 9 and 11 using methods such as prime factorisation, long division method and listing common factors.

What is the HCF of 9 and 11?

The Highest Common Factor of 9 and 11 is 1. The factors of 9 are 1, 3 and 9 and the factors of 11 are 1 and 11. Here, 1 is the largest number that can divide both 9 and 11 exactly.

How to Find HCF of 9 and 11?

There are three methods to find the HCF of 9 and 11:

• Prime Factorisation
• Long Division method
• Listing common factors

HCF of 9 and 11 by Prime Factorisation Method

To find the HCF in the prime factorisation method, we can write the given numbers as the product of prime factors. Hence, 9 and 11 can be written as:

9 = 3 × 3

11 = 11

There is no common prime factor for 9 and 11.

Hence, HCF (9, 11) = 1

HCF of 9 and 11 by Long Division Method

In this method, we can use the steps mentioned below to find the Highest Common Factor of 9 and 11:

Step 1: Divide the largest number by the smallest number from the given two numbers.

Step 2: Now, check the remainder. If it is not 0, then make it a new divisor and write the previous divisor as the new dividend. Then perform the division.

Step 3: Continue this process until we get the remainder equal to zero. The last divisor will be the HCF of the given two numbers.

The Highest Common Factor of 9 and 11 by the long division method is given below:

Hence, HCF (9, 11) = 1

HCF of 9 and 11 by Listing Common Factors

In this method, list out all the factors of 9 and 11 to determine their Highest Common Factor. The factors of 9 and 11 are as follows:

Factors of 9:1,3, 9

Factors of 11: 1, 11

Hence, HCF (9, 11) = 1

Related Articles

• Highest Common Factor
• GCF
• HCF and LCM
• GCF Calculator
• HCF

Video Lesson on Properties of HCF and LCM

Solved Example

Question: What is the highest number that divides both 9 and 11 exactly?

Solution: The highest number that divides both 9 and 11 exactly is their Highest Common Factor. To find the HCF of 9 and 11, we need to express the factors of 9 and 11.

Factors of 9: 1, 3, 9

Factors of 11: 1, 11

Here, the Highest Common Factor of 9 and 11 is 1. Hence, the highest number that divides both 9 and 11 exactly is 1.