Highest Common Factor of 4741, 8186 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 4741, 8186 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4741, 8186 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 4741, 8186 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 4741, 8186 is 1.

HCF(4741, 8186) = 1

HCF of 4741, 8186 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 4741, 8186 is 1.

Highest Common Factor of 4741,8186 using Euclid's algorithm

Highest Common Factor of 4741,8186 is 1

Step 1: Since 8186 > 4741, we apply the division lemma to 8186 and 4741, to get

8186 = 4741 x 1 + 3445

Step 2: Since the reminder 4741 ≠ 0, we apply division lemma to 3445 and 4741, to get

4741 = 3445 x 1 + 1296

Step 3: We consider the new divisor 3445 and the new remainder 1296, and apply the division lemma to get

3445 = 1296 x 2 + 853

We consider the new divisor 1296 and the new remainder 853,and apply the division lemma to get

1296 = 853 x 1 + 443

We consider the new divisor 853 and the new remainder 443,and apply the division lemma to get

853 = 443 x 1 + 410

We consider the new divisor 443 and the new remainder 410,and apply the division lemma to get

443 = 410 x 1 + 33

We consider the new divisor 410 and the new remainder 33,and apply the division lemma to get

410 = 33 x 12 + 14

We consider the new divisor 33 and the new remainder 14,and apply the division lemma to get

33 = 14 x 2 + 5

We consider the new divisor 14 and the new remainder 5,and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 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 4741 and 8186 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(33,14) = HCF(410,33) = HCF(443,410) = HCF(853,443) = HCF(1296,853) = HCF(3445,1296) = HCF(4741,3445) = HCF(8186,4741) .

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Frequently Asked Questions on HCF of 4741, 8186 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 4741, 8186?

Answer: HCF of 4741, 8186 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4741, 8186 using Euclid's Algorithm?

Answer: For arbitrary numbers 4741, 8186 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.