HCF of 1960, 7644 using Euclid's algorithm
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Want to know how to use Euclid’s algorithm to find the HCF of 1960, 7644 ? 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 1960, 7644 using Euclid's algorithm i.e 196 quickly.
Detailed Method to Find the HCF of 1960,7644 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 1960,7644. This is how to do it.
Step 1: The first step is to use the division lemma with 7644 and 1960 because 7644 is greater than 1960
7644 = 1960 x 3 + 1764
Step 2: Here, the reminder 1960 is not 0, we must use division lemma to 1764 and 1960, to get
1960 = 1764 x 1 + 196
Step 3: We consider the new divisor 1764 and the new remainder 196, and apply the division lemma to get
1764 = 196 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 196.Therefore, the HCF of 1960 and 7644 is equal to 196
Notice that 196 = HCF(1764,196) = HCF(1960,1764) = HCF(7644,1960) .
Result
Hence, the HCF of 1960, 7644 is equal to 196.
FAQ on HCF of 1960, 7644 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 1960, 7644?
Answer: The HCF of 1960, 7644 is 196.