Highest Common Factor of 9467, 2803 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 9467, 2803 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9467, 2803 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 9467, 2803 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 9467, 2803 is 1.

HCF(9467, 2803) = 1

HCF of 9467, 2803 using Euclid's algorithm

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

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Highest common factor (HCF) of 9467, 2803 is 1.

Highest Common Factor of 9467,2803 using Euclid's algorithm

Highest Common Factor of 9467,2803 is 1

Step 1: Since 9467 > 2803, we apply the division lemma to 9467 and 2803, to get

9467 = 2803 x 3 + 1058

Step 2: Since the reminder 2803 ≠ 0, we apply division lemma to 1058 and 2803, to get

2803 = 1058 x 2 + 687

Step 3: We consider the new divisor 1058 and the new remainder 687, and apply the division lemma to get

1058 = 687 x 1 + 371

We consider the new divisor 687 and the new remainder 371,and apply the division lemma to get

687 = 371 x 1 + 316

We consider the new divisor 371 and the new remainder 316,and apply the division lemma to get

371 = 316 x 1 + 55

We consider the new divisor 316 and the new remainder 55,and apply the division lemma to get

316 = 55 x 5 + 41

We consider the new divisor 55 and the new remainder 41,and apply the division lemma to get

55 = 41 x 1 + 14

We consider the new divisor 41 and the new remainder 14,and apply the division lemma to get

41 = 14 x 2 + 13

We consider the new divisor 14 and the new remainder 13,and apply the division lemma to get

14 = 13 x 1 + 1

We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get

13 = 1 x 13 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9467 and 2803 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(41,14) = HCF(55,41) = HCF(316,55) = HCF(371,316) = HCF(687,371) = HCF(1058,687) = HCF(2803,1058) = HCF(9467,2803) .

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Frequently Asked Questions on HCF of 9467, 2803 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 9467, 2803?

Answer: HCF of 9467, 2803 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9467, 2803 using Euclid's Algorithm?

Answer: For arbitrary numbers 9467, 2803 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.