HCF of 4003, 4126, 4249 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 4003, 4126, 4249 ? 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 4003, 4126, 4249 using Euclid's algorithm i.e 1 quickly.
Detailed Method to Find the HCF of 4003,4126,4249 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 4003,4126,4249. This is how to do it.
Step 1: The first step is to use the division lemma with 4126 and 4003 because 4126 is greater than 4003
4126 = 4003 x 1 + 123
Step 2: Since the reminder 4003 is not 0, we must use division lemma to 123 and 4003, to get
4003 = 123 x 32 + 67
Step 3: We consider the new divisor 123 and the new remainder 67, and apply the division lemma to get
123 = 67 x 1 + 56
We consider the new divisor 67 and the new remainder 56,and apply the division lemma to get
67 = 56 x 1 + 11
We consider the new divisor 56 and the new remainder 11,and apply the division lemma to get
56 = 11 x 5 + 1
We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get
11 = 1 x 11 + 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 1.Therefore, the HCF of 4003 and 4126 is equal to 1
Notice that 1 = HCF(11,1) = HCF(56,11) = HCF(67,56) = HCF(123,67) = HCF(4003,123) = HCF(4126,4003) .
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 4249 and 1 because 4249 is greater than 1
4249 = 1 x 4249 + 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 1.Therefore, the HCF of 1 and 4249 is equal to 1
Notice that 1 = HCF(4249,1) .
Result
Hence, the HCF of 4003, 4126, 4249 is equal to 1.
FAQ on HCF of 4003, 4126, 4249 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 4003, 4126, 4249?
Answer: The HCF of 4003, 4126, 4249 is 1.