Want to know how to use Euclid’s algorithm to find the HCF of 240, 260, 370 ? 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 240, 260, 370 using Euclid's algorithm i.e 10 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 240,260,370. This is how to do it.
Step 1: The first step is to use the division lemma with 260 and 240 because 260 is greater than 240
260 = 240 x 1 + 20
Step 2: Here, the reminder 240 is not 0, we must use division lemma to 20 and 240, to get
240 = 20 x 12 + 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 20.Therefore, the HCF of 240 and 260 is equal to 20
Notice that 20 = HCF(240,20) = HCF(260,240) .
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 370 and 20 because 370 is greater than 20
370 = 20 x 18 + 10
Step 2: Here, the reminder 20 is not 0, we must use division lemma to 10 and 20, to get
20 = 10 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 10.Therefore, the HCF of 20 and 370 is equal to 10
Notice that 10 = HCF(20,10) = HCF(370,20) .
Hence, the HCF of 240, 260, 370 is equal to 10.
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 240, 260, 370?
Answer: The HCF of 240, 260, 370 is 10.