HCF of 720, 10, 775, 690 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 720, 10, 775, 690 ? 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 720, 10, 775, 690 using Euclid's algorithm i.e 5 quickly.
Detailed Method to Find the HCF of 720,10,775,690 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 720,10,775,690. This is how to do it.
Step 1: The first step is to use the division lemma with 720 and 10 because 720 is greater than 10
720 = 10 x 72 + 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 10.Therefore, the HCF of 720 and 10 is equal to 10
Notice that 10 = HCF(720,10) .
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 775 and 10 because 775 is greater than 10
775 = 10 x 77 + 5
Step 2: Here, the reminder 10 is not 0, we must use division lemma to 5 and 10, to get
10 = 5 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 5.Therefore, the HCF of 10 and 775 is equal to 5
Notice that 5 = HCF(10,5) = HCF(775,10) .
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 690 and 5 because 690 is greater than 5
690 = 5 x 138 + 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 5.Therefore, the HCF of 5 and 690 is equal to 5
Notice that 5 = HCF(690,5) .
Result
Hence, the HCF of 720, 10, 775, 690 is equal to 5.
FAQ on HCF of 720, 10, 775, 690 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 720, 10, 775, 690?
Answer: The HCF of 720, 10, 775, 690 is 5.