Highest Common Factor of 8127, 1861 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 8127, 1861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8127, 1861 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 8127, 1861 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 8127, 1861 is 1.

HCF(8127, 1861) = 1

HCF of 8127, 1861 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 8127, 1861 is 1.

Highest Common Factor of 8127,1861 using Euclid's algorithm

Highest Common Factor of 8127,1861 is 1

Step 1: Since 8127 > 1861, we apply the division lemma to 8127 and 1861, to get

8127 = 1861 x 4 + 683

Step 2: Since the reminder 1861 ≠ 0, we apply division lemma to 683 and 1861, to get

1861 = 683 x 2 + 495

Step 3: We consider the new divisor 683 and the new remainder 495, and apply the division lemma to get

683 = 495 x 1 + 188

We consider the new divisor 495 and the new remainder 188,and apply the division lemma to get

495 = 188 x 2 + 119

We consider the new divisor 188 and the new remainder 119,and apply the division lemma to get

188 = 119 x 1 + 69

We consider the new divisor 119 and the new remainder 69,and apply the division lemma to get

119 = 69 x 1 + 50

We consider the new divisor 69 and the new remainder 50,and apply the division lemma to get

69 = 50 x 1 + 19

We consider the new divisor 50 and the new remainder 19,and apply the division lemma to get

50 = 19 x 2 + 12

We consider the new divisor 19 and the new remainder 12,and apply the division lemma to get

19 = 12 x 1 + 7

We consider the new divisor 12 and the new remainder 7,and apply the division lemma to get

12 = 7 x 1 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8127 and 1861 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(12,7) = HCF(19,12) = HCF(50,19) = HCF(69,50) = HCF(119,69) = HCF(188,119) = HCF(495,188) = HCF(683,495) = HCF(1861,683) = HCF(8127,1861) .

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Frequently Asked Questions on HCF of 8127, 1861 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 8127, 1861?

Answer: HCF of 8127, 1861 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8127, 1861 using Euclid's Algorithm?

Answer: For arbitrary numbers 8127, 1861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.