Highest Common Factor of 3183, 8666 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 3183, 8666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3183, 8666 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 3183, 8666 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 3183, 8666 is 1.

HCF(3183, 8666) = 1

HCF of 3183, 8666 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 3183, 8666 is 1.

Highest Common Factor of 3183,8666 using Euclid's algorithm

Highest Common Factor of 3183,8666 is 1

Step 1: Since 8666 > 3183, we apply the division lemma to 8666 and 3183, to get

8666 = 3183 x 2 + 2300

Step 2: Since the reminder 3183 ≠ 0, we apply division lemma to 2300 and 3183, to get

3183 = 2300 x 1 + 883

Step 3: We consider the new divisor 2300 and the new remainder 883, and apply the division lemma to get

2300 = 883 x 2 + 534

We consider the new divisor 883 and the new remainder 534,and apply the division lemma to get

883 = 534 x 1 + 349

We consider the new divisor 534 and the new remainder 349,and apply the division lemma to get

534 = 349 x 1 + 185

We consider the new divisor 349 and the new remainder 185,and apply the division lemma to get

349 = 185 x 1 + 164

We consider the new divisor 185 and the new remainder 164,and apply the division lemma to get

185 = 164 x 1 + 21

We consider the new divisor 164 and the new remainder 21,and apply the division lemma to get

164 = 21 x 7 + 17

We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get

21 = 17 x 1 + 4

We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get

17 = 4 x 4 + 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 3183 and 8666 is 1

Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(164,21) = HCF(185,164) = HCF(349,185) = HCF(534,349) = HCF(883,534) = HCF(2300,883) = HCF(3183,2300) = HCF(8666,3183) .

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Frequently Asked Questions on HCF of 3183, 8666 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 3183, 8666?

Answer: HCF of 3183, 8666 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3183, 8666 using Euclid's Algorithm?

Answer: For arbitrary numbers 3183, 8666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.