Want to know how to use Euclid’s algorithm to find the HCF of 84, 210, 336 ? 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 84, 210, 336 using Euclid's algorithm i.e 42 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 84,210,336. This is how to do it.
Step 1: The first step is to use the division lemma with 210 and 84 because 210 is greater than 84
210 = 84 x 2 + 42
Step 2: Here, the reminder 84 is not 0, we must use division lemma to 42 and 84, to get
84 = 42 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 42.Therefore, the HCF of 84 and 210 is equal to 42
Notice that 42 = HCF(84,42) = HCF(210,84) .
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 336 and 42 because 336 is greater than 42
336 = 42 x 8 + 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 42.Therefore, the HCF of 42 and 336 is equal to 42
Notice that 42 = HCF(336,42) .
Hence, the HCF of 84, 210, 336 is equal to 42.
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 84, 210, 336?
Answer: The HCF of 84, 210, 336 is 42.