Want to know how to use Euclid’s algorithm to find the HCF of 404, 919, 134, 956 ? 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 404, 919, 134, 956 using Euclid's algorithm i.e 1 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 404,919,134,956. This is how to do it.
Step 1: The first step is to use the division lemma with 919 and 404 because 919 is greater than 404
919 = 404 x 2 + 111
Step 2: Since the reminder 404 is not 0, we must use division lemma to 111 and 404, to get
404 = 111 x 3 + 71
Step 3: We consider the new divisor 111 and the new remainder 71, and apply the division lemma to get
111 = 71 x 1 + 40
We consider the new divisor 71 and the new remainder 40,and apply the division lemma to get
71 = 40 x 1 + 31
We consider the new divisor 40 and the new remainder 31,and apply the division lemma to get
40 = 31 x 1 + 9
We consider the new divisor 31 and the new remainder 9,and apply the division lemma to get
31 = 9 x 3 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 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 1.Therefore, the HCF of 404 and 919 is equal to 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(31,9) = HCF(40,31) = HCF(71,40) = HCF(111,71) = HCF(404,111) = HCF(919,404) .
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 134 and 1 because 134 is greater than 1
134 = 1 x 134 + 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 134 is equal to 1
Notice that 1 = HCF(134,1) .
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 956 and 1 because 956 is greater than 1
956 = 1 x 956 + 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 956 is equal to 1
Notice that 1 = HCF(956,1) .
Hence, the HCF of 404, 919, 134, 956 is equal to 1.
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 404, 919, 134, 956?
Answer: The HCF of 404, 919, 134, 956 is 1.