Highest Common Factor of 9929, 2498, 81330 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 9929, 2498, 81330 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9929, 2498, 81330 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 9929, 2498, 81330 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 9929, 2498, 81330 is 1.

HCF(9929, 2498, 81330) = 1

HCF of 9929, 2498, 81330 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 9929, 2498, 81330 is 1.

Highest Common Factor of 9929,2498,81330 using Euclid's algorithm

Highest Common Factor of 9929,2498,81330 is 1

Step 1: Since 9929 > 2498, we apply the division lemma to 9929 and 2498, to get

9929 = 2498 x 3 + 2435

Step 2: Since the reminder 2498 ≠ 0, we apply division lemma to 2435 and 2498, to get

2498 = 2435 x 1 + 63

Step 3: We consider the new divisor 2435 and the new remainder 63, and apply the division lemma to get

2435 = 63 x 38 + 41

We consider the new divisor 63 and the new remainder 41,and apply the division lemma to get

63 = 41 x 1 + 22

We consider the new divisor 41 and the new remainder 22,and apply the division lemma to get

41 = 22 x 1 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9929 and 2498 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(41,22) = HCF(63,41) = HCF(2435,63) = HCF(2498,2435) = HCF(9929,2498) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 81330 > 1, we apply the division lemma to 81330 and 1, to get

81330 = 1 x 81330 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81330 is 1

Notice that 1 = HCF(81330,1) .

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Frequently Asked Questions on HCF of 9929, 2498, 81330 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 9929, 2498, 81330?

Answer: HCF of 9929, 2498, 81330 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9929, 2498, 81330 using Euclid's Algorithm?

Answer: For arbitrary numbers 9929, 2498, 81330 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.