Highest Common Factor of 9067, 9463 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 9067, 9463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9067, 9463 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 9067, 9463 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 9067, 9463 is 1.

HCF(9067, 9463) = 1

HCF of 9067, 9463 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 9067, 9463 is 1.

Highest Common Factor of 9067,9463 using Euclid's algorithm

Highest Common Factor of 9067,9463 is 1

Step 1: Since 9463 > 9067, we apply the division lemma to 9463 and 9067, to get

9463 = 9067 x 1 + 396

Step 2: Since the reminder 9067 ≠ 0, we apply division lemma to 396 and 9067, to get

9067 = 396 x 22 + 355

Step 3: We consider the new divisor 396 and the new remainder 355, and apply the division lemma to get

396 = 355 x 1 + 41

We consider the new divisor 355 and the new remainder 41,and apply the division lemma to get

355 = 41 x 8 + 27

We consider the new divisor 41 and the new remainder 27,and apply the division lemma to get

41 = 27 x 1 + 14

We consider the new divisor 27 and the new remainder 14,and apply the division lemma to get

27 = 14 x 1 + 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 9067 and 9463 is 1

Notice that 1 = HCF(13,1) = HCF(14,13) = HCF(27,14) = HCF(41,27) = HCF(355,41) = HCF(396,355) = HCF(9067,396) = HCF(9463,9067) .

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Frequently Asked Questions on HCF of 9067, 9463 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 9067, 9463?

Answer: HCF of 9067, 9463 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9067, 9463 using Euclid's Algorithm?

Answer: For arbitrary numbers 9067, 9463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.