Want to know how to use Euclid’s algorithm to find the HCF of 623, 976, 943, 587 ? 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 623, 976, 943, 587 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 623,976,943,587. This is how to do it.
Step 1: The first step is to use the division lemma with 976 and 623 because 976 is greater than 623
976 = 623 x 1 + 353
Step 2: Since the reminder 623 is not 0, we must use division lemma to 353 and 623, to get
623 = 353 x 1 + 270
Step 3: We consider the new divisor 353 and the new remainder 270, and apply the division lemma to get
353 = 270 x 1 + 83
We consider the new divisor 270 and the new remainder 83,and apply the division lemma to get
270 = 83 x 3 + 21
We consider the new divisor 83 and the new remainder 21,and apply the division lemma to get
83 = 21 x 3 + 20
We consider the new divisor 21 and the new remainder 20,and apply the division lemma to get
21 = 20 x 1 + 1
We consider the new divisor 20 and the new remainder 1,and apply the division lemma to get
20 = 1 x 20 + 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 623 and 976 is equal to 1
Notice that 1 = HCF(20,1) = HCF(21,20) = HCF(83,21) = HCF(270,83) = HCF(353,270) = HCF(623,353) = HCF(976,623) .
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 943 and 1 because 943 is greater than 1
943 = 1 x 943 + 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 943 is equal to 1
Notice that 1 = HCF(943,1) .
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 587 and 1 because 587 is greater than 1
587 = 1 x 587 + 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 587 is equal to 1
Notice that 1 = HCF(587,1) .
Hence, the HCF of 623, 976, 943, 587 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 623, 976, 943, 587?
Answer: The HCF of 623, 976, 943, 587 is 1.