HCF of 400, 437, 889, 256 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 400, 437, 889, 256 ? 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 400, 437, 889, 256 using Euclid's algorithm i.e 1 quickly.
Detailed Method to Find the HCF of 400,437,889,256 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 400,437,889,256. This is how to do it.
Step 1: The first step is to use the division lemma with 437 and 400 because 437 is greater than 400
437 = 400 x 1 + 37
Step 2: Since the reminder 400 is not 0, we must use division lemma to 37 and 400, to get
400 = 37 x 10 + 30
Step 3: We consider the new divisor 37 and the new remainder 30, and apply the division lemma to get
37 = 30 x 1 + 7
We consider the new divisor 30 and the new remainder 7,and apply the division lemma to get
30 = 7 x 4 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 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 1.Therefore, the HCF of 400 and 437 is equal to 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(30,7) = HCF(37,30) = HCF(400,37) = HCF(437,400) .
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 889 and 1 because 889 is greater than 1
889 = 1 x 889 + 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 889 is equal to 1
Notice that 1 = HCF(889,1) .
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 256 and 1 because 256 is greater than 1
256 = 1 x 256 + 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 256 is equal to 1
Notice that 1 = HCF(256,1) .
Result
Hence, the HCF of 400, 437, 889, 256 is equal to 1.
FAQ on HCF of 400, 437, 889, 256 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 400, 437, 889, 256?
Answer: The HCF of 400, 437, 889, 256 is 1.