Highest Common Factor of 9814, 6633 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 9814, 6633 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9814, 6633 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 9814, 6633 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 9814, 6633 is 1.

HCF(9814, 6633) = 1

HCF of 9814, 6633 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 9814, 6633 is 1.

Highest Common Factor of 9814,6633 using Euclid's algorithm

Highest Common Factor of 9814,6633 is 1

Step 1: Since 9814 > 6633, we apply the division lemma to 9814 and 6633, to get

9814 = 6633 x 1 + 3181

Step 2: Since the reminder 6633 ≠ 0, we apply division lemma to 3181 and 6633, to get

6633 = 3181 x 2 + 271

Step 3: We consider the new divisor 3181 and the new remainder 271, and apply the division lemma to get

3181 = 271 x 11 + 200

We consider the new divisor 271 and the new remainder 200,and apply the division lemma to get

271 = 200 x 1 + 71

We consider the new divisor 200 and the new remainder 71,and apply the division lemma to get

200 = 71 x 2 + 58

We consider the new divisor 71 and the new remainder 58,and apply the division lemma to get

71 = 58 x 1 + 13

We consider the new divisor 58 and the new remainder 13,and apply the division lemma to get

58 = 13 x 4 + 6

We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get

13 = 6 x 2 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9814 and 6633 is 1

Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(58,13) = HCF(71,58) = HCF(200,71) = HCF(271,200) = HCF(3181,271) = HCF(6633,3181) = HCF(9814,6633) .

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Frequently Asked Questions on HCF of 9814, 6633 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 9814, 6633?

Answer: HCF of 9814, 6633 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9814, 6633 using Euclid's Algorithm?

Answer: For arbitrary numbers 9814, 6633 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.