Highest Common Factor of 9918, 8561 using Euclid's algorithm

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 9918, 8561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9918, 8561 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.

Consider we have numbers 9918, 8561 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b

Highest common factor (HCF) of 9918, 8561 is 1.

HCF(9918, 8561) = 1

HCF of 9918, 8561 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 9918, 8561 is 1.

Highest Common Factor of 9918,8561 using Euclid's algorithm

Highest Common Factor of 9918,8561 is 1

Step 1: Since 9918 > 8561, we apply the division lemma to 9918 and 8561, to get

9918 = 8561 x 1 + 1357

Step 2: Since the reminder 8561 ≠ 0, we apply division lemma to 1357 and 8561, to get

8561 = 1357 x 6 + 419

Step 3: We consider the new divisor 1357 and the new remainder 419, and apply the division lemma to get

1357 = 419 x 3 + 100

We consider the new divisor 419 and the new remainder 100,and apply the division lemma to get

419 = 100 x 4 + 19

We consider the new divisor 100 and the new remainder 19,and apply the division lemma to get

100 = 19 x 5 + 5

We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get

19 = 5 x 3 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9918 and 8561 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(100,19) = HCF(419,100) = HCF(1357,419) = HCF(8561,1357) = HCF(9918,8561) .

HCF using Euclid's Algorithm Calculation Examples

Here are some samples of HCF using Euclid's Algorithm calculations.

Frequently Asked Questions on HCF of 9918, 8561 using Euclid's Algorithm

1. What is the Euclid division algorithm?

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

2. what is the HCF of 9918, 8561?

Answer: HCF of 9918, 8561 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9918, 8561 using Euclid's Algorithm?

Answer: For arbitrary numbers 9918, 8561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.