HCF of 480, 795, 320, 50 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 480, 795, 320, 50 ? 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 480, 795, 320, 50 using Euclid's algorithm i.e 5 quickly.
Detailed Method to Find the HCF of 480,795,320,50 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 480,795,320,50. This is how to do it.
Step 1: The first step is to use the division lemma with 795 and 480 because 795 is greater than 480
795 = 480 x 1 + 315
Step 2: Since the reminder 480 is not 0, we must use division lemma to 315 and 480, to get
480 = 315 x 1 + 165
Step 3: We consider the new divisor 315 and the new remainder 165, and apply the division lemma to get
315 = 165 x 1 + 150
We consider the new divisor 165 and the new remainder 150,and apply the division lemma to get
165 = 150 x 1 + 15
We consider the new divisor 150 and the new remainder 15,and apply the division lemma to get
150 = 15 x 10 + 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 15.Therefore, the HCF of 480 and 795 is equal to 15
Notice that 15 = HCF(150,15) = HCF(165,150) = HCF(315,165) = HCF(480,315) = HCF(795,480) .
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 320 and 15 because 320 is greater than 15
320 = 15 x 21 + 5
Step 2: Here, the reminder 15 is not 0, we must use division lemma to 5 and 15, to get
15 = 5 x 3 + 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 5.Therefore, the HCF of 15 and 320 is equal to 5
Notice that 5 = HCF(15,5) = HCF(320,15) .
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 50 and 5 because 50 is greater than 5
50 = 5 x 10 + 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 5.Therefore, the HCF of 5 and 50 is equal to 5
Notice that 5 = HCF(50,5) .
Result
Hence, the HCF of 480, 795, 320, 50 is equal to 5.
FAQ on HCF of 480, 795, 320, 50 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 480, 795, 320, 50?
Answer: The HCF of 480, 795, 320, 50 is 5.