How to find HCF of 1250, 9375, 15625 using Euclid's Algorithm?

For arbitrary numbers 1250, 9375, 15625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

How to find HCF of 1250, 9375, 15625 using Euclid's Algorithm?

For arbitrary numbers 1250, 9375, 15625 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.

HCF of 1250, 9375, 15625 using Euclid's algorithm

Q: What is the Euclid division algorithm?

Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.

Q: what is the HCF of 1250, 9375, 15625?

HCF of 1250, 9375, 15625 is 625 the largest number that divides all the numbers leaving a remainder zero.

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023

Want to know how to use Euclid’s algorithm to find the HCF of 1250, 9375, 15625 ? 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 1250, 9375, 15625 using Euclid's algorithm i.e 625 quickly.

Detailed Method to Find the HCF of 1250,9375,15625 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 1250,9375,15625. This is how to do it.

Step 1: The first step is to use the division lemma with 9375 and 1250 because 9375 is greater than 1250

9375 = 1250 x 7 + 625

Step 2: Here, the reminder 1250 is not 0, we must use division lemma to 625 and 1250, to get

1250 = 625 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 625.Therefore, the HCF of 1250 and 9375 is equal to 625

Notice that 625 = HCF(1250,625) = HCF(9375,1250) .

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 15625 and 625 because 15625 is greater than 625

15625 = 625 x 25 + 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 625.Therefore, the HCF of 625 and 15625 is equal to 625

Notice that 625 = HCF(15625,625) .

Result

Hence, the HCF of 1250, 9375, 15625 is equal to 625.

FAQ on HCF of 1250, 9375, 15625 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 1250, 9375, 15625?

Answer: The HCF of 1250, 9375, 15625 is 625.