Highest Common Factor of 5381, 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 5381, 8666 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5381, 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 5381, 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 5381, 8666 is 1.

HCF(5381, 8666) = 1

HCF of 5381, 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 5381, 8666 is 1.

Highest Common Factor of 5381,8666 using Euclid's algorithm

Highest Common Factor of 5381,8666 is 1

Step 1: Since 8666 > 5381, we apply the division lemma to 8666 and 5381, to get

8666 = 5381 x 1 + 3285

Step 2: Since the reminder 5381 ≠ 0, we apply division lemma to 3285 and 5381, to get

5381 = 3285 x 1 + 2096

Step 3: We consider the new divisor 3285 and the new remainder 2096, and apply the division lemma to get

3285 = 2096 x 1 + 1189

We consider the new divisor 2096 and the new remainder 1189,and apply the division lemma to get

2096 = 1189 x 1 + 907

We consider the new divisor 1189 and the new remainder 907,and apply the division lemma to get

1189 = 907 x 1 + 282

We consider the new divisor 907 and the new remainder 282,and apply the division lemma to get

907 = 282 x 3 + 61

We consider the new divisor 282 and the new remainder 61,and apply the division lemma to get

282 = 61 x 4 + 38

We consider the new divisor 61 and the new remainder 38,and apply the division lemma to get

61 = 38 x 1 + 23

We consider the new divisor 38 and the new remainder 23,and apply the division lemma to get

38 = 23 x 1 + 15

We consider the new divisor 23 and the new remainder 15,and apply the division lemma to get

23 = 15 x 1 + 8

We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get

15 = 8 x 1 + 7

We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get

8 = 7 x 1 + 1

We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get

7 = 1 x 7 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5381 and 8666 is 1

Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(23,15) = HCF(38,23) = HCF(61,38) = HCF(282,61) = HCF(907,282) = HCF(1189,907) = HCF(2096,1189) = HCF(3285,2096) = HCF(5381,3285) = HCF(8666,5381) .

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Frequently Asked Questions on HCF of 5381, 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 5381, 8666?

Answer: HCF of 5381, 8666 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5381, 8666 using Euclid's Algorithm?

Answer: For arbitrary numbers 5381, 8666 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.