HCF of 100, 490, 830, 740 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 100, 490, 830, 740 ? 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 100, 490, 830, 740 using Euclid's algorithm i.e 10 quickly.
Detailed Method to Find the HCF of 100,490,830,740 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 100,490,830,740. This is how to do it.
Step 1: The first step is to use the division lemma with 490 and 100 because 490 is greater than 100
490 = 100 x 4 + 90
Step 2: Here, the reminder 100 is not 0, we must use division lemma to 90 and 100, to get
100 = 90 x 1 + 10
Step 3: We consider the new divisor 90 and the new remainder 10, and apply the division lemma to get
90 = 10 x 9 + 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 10.Therefore, the HCF of 100 and 490 is equal to 10
Notice that 10 = HCF(90,10) = HCF(100,90) = HCF(490,100) .
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 830 and 10 because 830 is greater than 10
830 = 10 x 83 + 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 10.Therefore, the HCF of 10 and 830 is equal to 10
Notice that 10 = HCF(830,10) .
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 740 and 10 because 740 is greater than 10
740 = 10 x 74 + 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 10.Therefore, the HCF of 10 and 740 is equal to 10
Notice that 10 = HCF(740,10) .
Result
Hence, the HCF of 100, 490, 830, 740 is equal to 10.
FAQ on HCF of 100, 490, 830, 740 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 100, 490, 830, 740?
Answer: The HCF of 100, 490, 830, 740 is 10.