Highest Common Factor of 9133, 8065 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 9133, 8065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9133, 8065 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 9133, 8065 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 9133, 8065 is 1.

HCF(9133, 8065) = 1

HCF of 9133, 8065 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 9133, 8065 is 1.

Highest Common Factor of 9133,8065 using Euclid's algorithm

Highest Common Factor of 9133,8065 is 1

Step 1: Since 9133 > 8065, we apply the division lemma to 9133 and 8065, to get

9133 = 8065 x 1 + 1068

Step 2: Since the reminder 8065 ≠ 0, we apply division lemma to 1068 and 8065, to get

8065 = 1068 x 7 + 589

Step 3: We consider the new divisor 1068 and the new remainder 589, and apply the division lemma to get

1068 = 589 x 1 + 479

We consider the new divisor 589 and the new remainder 479,and apply the division lemma to get

589 = 479 x 1 + 110

We consider the new divisor 479 and the new remainder 110,and apply the division lemma to get

479 = 110 x 4 + 39

We consider the new divisor 110 and the new remainder 39,and apply the division lemma to get

110 = 39 x 2 + 32

We consider the new divisor 39 and the new remainder 32,and apply the division lemma to get

39 = 32 x 1 + 7

We consider the new divisor 32 and the new remainder 7,and apply the division lemma to get

32 = 7 x 4 + 4

We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get

7 = 4 x 1 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 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 9133 and 8065 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(32,7) = HCF(39,32) = HCF(110,39) = HCF(479,110) = HCF(589,479) = HCF(1068,589) = HCF(8065,1068) = HCF(9133,8065) .

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Frequently Asked Questions on HCF of 9133, 8065 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 9133, 8065?

Answer: HCF of 9133, 8065 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9133, 8065 using Euclid's Algorithm?

Answer: For arbitrary numbers 9133, 8065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.