HCF of 924, 370, 952, 353 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 924, 370, 952, 353 ? 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 924, 370, 952, 353 using Euclid's algorithm i.e 1 quickly.
Detailed Method to Find the HCF of 924,370,952,353 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 924,370,952,353. This is how to do it.
Step 1: The first step is to use the division lemma with 924 and 370 because 924 is greater than 370
924 = 370 x 2 + 184
Step 2: Here, the reminder 370 is not 0, we must use division lemma to 184 and 370, to get
370 = 184 x 2 + 2
Step 3: We consider the new divisor 184 and the new remainder 2, and apply the division lemma to get
184 = 2 x 92 + 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 2.Therefore, the HCF of 924 and 370 is equal to 2
Notice that 2 = HCF(184,2) = HCF(370,184) = HCF(924,370) .
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 952 and 2 because 952 is greater than 2
952 = 2 x 476 + 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 2.Therefore, the HCF of 2 and 952 is equal to 2
Notice that 2 = HCF(952,2) .
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 353 and 2 because 353 is greater than 2
353 = 2 x 176 + 1
Step 2: Here, the reminder 2 is not 0, we must use division lemma to 1 and 2, 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 2 and 353 is equal to 1
Notice that 1 = HCF(2,1) = HCF(353,2) .
Result
Hence, the HCF of 924, 370, 952, 353 is equal to 1.
FAQ on HCF of 924, 370, 952, 353 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 924, 370, 952, 353?
Answer: The HCF of 924, 370, 952, 353 is 1.