Want to know how to use Euclid’s algorithm to find the HCF of 19, 29, 69 ? 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 19, 29, 69 using Euclid's algorithm i.e 1 quickly.
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 19,29,69. This is how to do it.
Step 1: The first step is to use the division lemma with 29 and 19 because 29 is greater than 19
29 = 19 x 1 + 10
Step 2: Here, the reminder 19 is not 0, we must use division lemma to 10 and 19, to get
19 = 10 x 1 + 9
Step 3: We consider the new divisor 10 and the new remainder 9, and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1, and apply the division lemma to get
9 = 1 x 9 + 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 1.Therefore, the HCF of 19 and 29 is equal to 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) .
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 69 and 1 because 69 is greater than 1
69 = 1 x 69 + 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 1.Therefore, the HCF of 1 and 69 is equal to 1
Notice that 1 = HCF(69,1) .
Hence, the HCF of 19, 29, 69 is equal to 1.
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 19, 29, 69?
Answer: The HCF of 19, 29, 69 is 1.