Highest Common Factor of 8133, 8685, 15847 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 8133, 8685, 15847 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8133, 8685, 15847 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 8133, 8685, 15847 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 8133, 8685, 15847 is 1.

HCF(8133, 8685, 15847) = 1

HCF of 8133, 8685, 15847 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 8133, 8685, 15847 is 1.

Highest Common Factor of 8133,8685,15847 using Euclid's algorithm

Highest Common Factor of 8133,8685,15847 is 1

Step 1: Since 8685 > 8133, we apply the division lemma to 8685 and 8133, to get

8685 = 8133 x 1 + 552

Step 2: Since the reminder 8133 ≠ 0, we apply division lemma to 552 and 8133, to get

8133 = 552 x 14 + 405

Step 3: We consider the new divisor 552 and the new remainder 405, and apply the division lemma to get

552 = 405 x 1 + 147

We consider the new divisor 405 and the new remainder 147,and apply the division lemma to get

405 = 147 x 2 + 111

We consider the new divisor 147 and the new remainder 111,and apply the division lemma to get

147 = 111 x 1 + 36

We consider the new divisor 111 and the new remainder 36,and apply the division lemma to get

111 = 36 x 3 + 3

We consider the new divisor 36 and the new remainder 3,and apply the division lemma to get

36 = 3 x 12 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8133 and 8685 is 3

Notice that 3 = HCF(36,3) = HCF(111,36) = HCF(147,111) = HCF(405,147) = HCF(552,405) = HCF(8133,552) = HCF(8685,8133) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 15847 > 3, we apply the division lemma to 15847 and 3, to get

15847 = 3 x 5282 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 15847 is 1

Notice that 1 = HCF(3,1) = HCF(15847,3) .

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Frequently Asked Questions on HCF of 8133, 8685, 15847 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 8133, 8685, 15847?

Answer: HCF of 8133, 8685, 15847 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8133, 8685, 15847 using Euclid's Algorithm?

Answer: For arbitrary numbers 8133, 8685, 15847 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.