Highest Common Factor of 8347, 4466 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 8347, 4466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8347, 4466 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 8347, 4466 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 8347, 4466 is 1.

HCF(8347, 4466) = 1

HCF of 8347, 4466 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 8347, 4466 is 1.

Highest Common Factor of 8347,4466 using Euclid's algorithm

Highest Common Factor of 8347,4466 is 1

Step 1: Since 8347 > 4466, we apply the division lemma to 8347 and 4466, to get

8347 = 4466 x 1 + 3881

Step 2: Since the reminder 4466 ≠ 0, we apply division lemma to 3881 and 4466, to get

4466 = 3881 x 1 + 585

Step 3: We consider the new divisor 3881 and the new remainder 585, and apply the division lemma to get

3881 = 585 x 6 + 371

We consider the new divisor 585 and the new remainder 371,and apply the division lemma to get

585 = 371 x 1 + 214

We consider the new divisor 371 and the new remainder 214,and apply the division lemma to get

371 = 214 x 1 + 157

We consider the new divisor 214 and the new remainder 157,and apply the division lemma to get

214 = 157 x 1 + 57

We consider the new divisor 157 and the new remainder 57,and apply the division lemma to get

157 = 57 x 2 + 43

We consider the new divisor 57 and the new remainder 43,and apply the division lemma to get

57 = 43 x 1 + 14

We consider the new divisor 43 and the new remainder 14,and apply the division lemma to get

43 = 14 x 3 + 1

We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get

14 = 1 x 14 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8347 and 4466 is 1

Notice that 1 = HCF(14,1) = HCF(43,14) = HCF(57,43) = HCF(157,57) = HCF(214,157) = HCF(371,214) = HCF(585,371) = HCF(3881,585) = HCF(4466,3881) = HCF(8347,4466) .

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Frequently Asked Questions on HCF of 8347, 4466 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 8347, 4466?

Answer: HCF of 8347, 4466 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8347, 4466 using Euclid's Algorithm?

Answer: For arbitrary numbers 8347, 4466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.