How to find HCF of 441, 567, 693 using Euclid's Algorithm?

For arbitrary numbers 441, 567, 693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

How to find HCF of 441, 567, 693 using Euclid's Algorithm?

For arbitrary numbers 441, 567, 693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

HCF of 441, 567, 693 using Euclid's algorithm

Q: What is the Euclid division algorithm?

Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

Q: what is the HCF of 441, 567, 693?

HCF of 441, 567, 693 is 63 the largest number that divides all the numbers leaving a remainder zero.

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 441, 567, 693 ? 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 441, 567, 693 using Euclid's algorithm i.e 63 quickly.

Detailed Method to Find the HCF of 441,567,693 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 441,567,693. This is how to do it.

Step 1: The first step is to use the division lemma with 567 and 441 because 567 is greater than 441

567 = 441 x 1 + 126

Step 2: Here, the reminder 441 is not 0, we must use division lemma to 126 and 441, to get

441 = 126 x 3 + 63

Step 3: We consider the new divisor 126 and the new remainder 63, and apply the division lemma to get

126 = 63 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 63.Therefore, the HCF of 441 and 567 is equal to 63

Notice that 63 = HCF(126,63) = HCF(441,126) = HCF(567,441) .

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 693 and 63 because 693 is greater than 63

693 = 63 x 11 + 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 63.Therefore, the HCF of 63 and 693 is equal to 63

Notice that 63 = HCF(693,63) .

Result

Hence, the HCF of 441, 567, 693 is equal to 63.

FAQ on HCF of 441, 567, 693 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 441, 567, 693?

Answer: The HCF of 441, 567, 693 is 63.