Want to know how to use Euclid’s algorithm to find the HCF of 76, 80, 88, 125 ? 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 76, 80, 88, 125 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 76,80,88,125. This is how to do it.
Step 1: The first step is to use the division lemma with 80 and 76 because 80 is greater than 76
80 = 76 x 1 + 4
Step 2: Here, the reminder 76 is not 0, we must use division lemma to 4 and 76, to get
76 = 4 x 19 + 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 4.Therefore, the HCF of 76 and 80 is equal to 4
Notice that 4 = HCF(76,4) = HCF(80,76) .
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 88 and 4 because 88 is greater than 4
88 = 4 x 22 + 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 4.Therefore, the HCF of 4 and 88 is equal to 4
Notice that 4 = HCF(88,4) .
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 125 and 4 because 125 is greater than 4
125 = 4 x 31 + 1
Step 2: Here, the reminder 4 is not 0, we must use division lemma to 1 and 4, 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 4 and 125 is equal to 1
Notice that 1 = HCF(4,1) = HCF(125,4) .
Hence, the HCF of 76, 80, 88, 125 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 76, 80, 88, 125?
Answer: The HCF of 76, 80, 88, 125 is 1.