Want to know how to use Euclid’s algorithm to find the HCF of 56, 84, 112 ? 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 56, 84, 112 using Euclid's algorithm i.e 28 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 56,84,112. This is how to do it.
Step 1: The first step is to use the division lemma with 84 and 56 because 84 is greater than 56
84 = 56 x 1 + 28
Step 2: Here, the reminder 56 is not 0, we must use division lemma to 28 and 56, to get
56 = 28 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 28.Therefore, the HCF of 56 and 84 is equal to 28
Notice that 28 = HCF(56,28) = HCF(84,56) .
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 112 and 28 because 112 is greater than 28
112 = 28 x 4 + 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 28.Therefore, the HCF of 28 and 112 is equal to 28
Notice that 28 = HCF(112,28) .
Hence, the HCF of 56, 84, 112 is equal to 28.
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 56, 84, 112?
Answer: The HCF of 56, 84, 112 is 28.