Highest Common Factor of 8633, 9305 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 8633, 9305 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8633, 9305 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 8633, 9305 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 8633, 9305 is 1.

HCF(8633, 9305) = 1

HCF of 8633, 9305 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 8633, 9305 is 1.

Highest Common Factor of 8633,9305 using Euclid's algorithm

Highest Common Factor of 8633,9305 is 1

Step 1: Since 9305 > 8633, we apply the division lemma to 9305 and 8633, to get

9305 = 8633 x 1 + 672

Step 2: Since the reminder 8633 ≠ 0, we apply division lemma to 672 and 8633, to get

8633 = 672 x 12 + 569

Step 3: We consider the new divisor 672 and the new remainder 569, and apply the division lemma to get

672 = 569 x 1 + 103

We consider the new divisor 569 and the new remainder 103,and apply the division lemma to get

569 = 103 x 5 + 54

We consider the new divisor 103 and the new remainder 54,and apply the division lemma to get

103 = 54 x 1 + 49

We consider the new divisor 54 and the new remainder 49,and apply the division lemma to get

54 = 49 x 1 + 5

We consider the new divisor 49 and the new remainder 5,and apply the division lemma to get

49 = 5 x 9 + 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 8633 and 9305 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(49,5) = HCF(54,49) = HCF(103,54) = HCF(569,103) = HCF(672,569) = HCF(8633,672) = HCF(9305,8633) .

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Frequently Asked Questions on HCF of 8633, 9305 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 8633, 9305?

Answer: HCF of 8633, 9305 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8633, 9305 using Euclid's Algorithm?

Answer: For arbitrary numbers 8633, 9305 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.