Want to know how to use Euclid’s algorithm to find the HCF of 42, 126, 210 ? 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 42, 126, 210 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 42,126,210. This is how to do it.
Step 1: The first step is to use the division lemma with 126 and 42 because 126 is greater than 42
126 = 42 x 3 + 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 126 is equal to 42
Notice that 42 = HCF(126,42) .
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 210 and 42 because 210 is greater than 42
210 = 42 x 5 + 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 210 is equal to 42
Notice that 42 = HCF(210,42) .
Hence, the HCF of 42, 126, 210 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 42, 126, 210?
Answer: The HCF of 42, 126, 210 is 42.