Highest Common Factor of 3863, 9109 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 3863, 9109 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3863, 9109 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 3863, 9109 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 3863, 9109 is 1.

HCF(3863, 9109) = 1

HCF of 3863, 9109 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 3863, 9109 is 1.

Highest Common Factor of 3863,9109 using Euclid's algorithm

Highest Common Factor of 3863,9109 is 1

Step 1: Since 9109 > 3863, we apply the division lemma to 9109 and 3863, to get

9109 = 3863 x 2 + 1383

Step 2: Since the reminder 3863 ≠ 0, we apply division lemma to 1383 and 3863, to get

3863 = 1383 x 2 + 1097

Step 3: We consider the new divisor 1383 and the new remainder 1097, and apply the division lemma to get

1383 = 1097 x 1 + 286

We consider the new divisor 1097 and the new remainder 286,and apply the division lemma to get

1097 = 286 x 3 + 239

We consider the new divisor 286 and the new remainder 239,and apply the division lemma to get

286 = 239 x 1 + 47

We consider the new divisor 239 and the new remainder 47,and apply the division lemma to get

239 = 47 x 5 + 4

We consider the new divisor 47 and the new remainder 4,and apply the division lemma to get

47 = 4 x 11 + 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 3863 and 9109 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(47,4) = HCF(239,47) = HCF(286,239) = HCF(1097,286) = HCF(1383,1097) = HCF(3863,1383) = HCF(9109,3863) .

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Frequently Asked Questions on HCF of 3863, 9109 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 3863, 9109?

Answer: HCF of 3863, 9109 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3863, 9109 using Euclid's Algorithm?

Answer: For arbitrary numbers 3863, 9109 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.