LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

HCF of 675, 459, 99 using Euclid's algorithm

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Want to know how to use Euclid’s algorithm to find the HCF of 675, 459, 99 ? Well, you have come to the right place. In this article, you will be learning about Euclid’s algorithm and how to use it to calculate the HCF with ease.
Take the help of the HCF Calculator using the Euclid Division Algorithm which finds HCF of 675, 459, 99 using Euclid's algorithm i.e 9 quickly.

 

HCF of:

Detailed Method to Find the HCF of 675,459,99 using Euclid's algorithm

Euclid’s algorithm is written as a = bq + r. This is known as the division lemma. The variable r varies according to 0 ≤ r ≤ b. We can use this to figure out the HCF of 675,459,99. This is how to do it.

Step 1: The first step is to use the division lemma with 675 and 459 because 675 is greater than 459

675 = 459 x 1 + 216

Step 2: Here, the reminder 459 is not 0, we must use division lemma to 216 and 459, to get

459 = 216 x 2 + 27

Step 3: We consider the new divisor 216 and the new remainder 27, and apply the division lemma to get

216 = 27 x 8 + 0

As you can see, the remainder is zero, so you may end the process at this point. From the last equation, we can determine that the divisor is 27.Therefore, the HCF of 675 and 459 is equal to 27

Notice that 27 = HCF(216,27) = HCF(459,216) = HCF(675,459) .


Now, we must treat the HCF of the first two numbers as the next number in our calculation, and next

Step 1: The first step is to use the division lemma with 99 and 27 because 99 is greater than 27

99 = 27 x 3 + 18

Step 2: Here, the reminder 27 is not 0, we must use division lemma to 18 and 27, to get

27 = 18 x 1 + 9

Step 3: We consider the new divisor 18 and the new remainder 9, and apply the division lemma to get

18 = 9 x 2 + 0

As you can see, the remainder is zero, so you may end the process at this point. From the last equation, we can determine that the divisor is 9.Therefore, the HCF of 27 and 99 is equal to 9

Notice that 9 = HCF(18,9) = HCF(27,18) = HCF(99,27) .

Result

Hence, the HCF of 675, 459, 99 is equal to 9.

FAQ on HCF of 675, 459, 99 using Euclid's Algorithm

1. What is the Euclid division algorithm?

Answer: Euclid’s algorithm is represented as a = bq + r, and 0 ≤ r ≤ b..

2. How do you find HCF using Euclid's algorithm ?

Answer: Apply the division lemma to the numbers, and keep going until the remainder is zero. Once it becomes zero, the divisor will be your HCF.

3. What is the HCF of 675, 459, 99?

Answer: The HCF of 675, 459, 99 is 9.