Highest Common Factor of 4446, 8101 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 4446, 8101 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4446, 8101 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 4446, 8101 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 4446, 8101 is 1.

HCF(4446, 8101) = 1

HCF of 4446, 8101 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4446, 8101 is 1.

Highest Common Factor of 4446,8101 using Euclid's algorithm

Highest Common Factor of 4446,8101 is 1

Step 1: Since 8101 > 4446, we apply the division lemma to 8101 and 4446, to get

8101 = 4446 x 1 + 3655

Step 2: Since the reminder 4446 ≠ 0, we apply division lemma to 3655 and 4446, to get

4446 = 3655 x 1 + 791

Step 3: We consider the new divisor 3655 and the new remainder 791, and apply the division lemma to get

3655 = 791 x 4 + 491

We consider the new divisor 791 and the new remainder 491,and apply the division lemma to get

791 = 491 x 1 + 300

We consider the new divisor 491 and the new remainder 300,and apply the division lemma to get

491 = 300 x 1 + 191

We consider the new divisor 300 and the new remainder 191,and apply the division lemma to get

300 = 191 x 1 + 109

We consider the new divisor 191 and the new remainder 109,and apply the division lemma to get

191 = 109 x 1 + 82

We consider the new divisor 109 and the new remainder 82,and apply the division lemma to get

109 = 82 x 1 + 27

We consider the new divisor 82 and the new remainder 27,and apply the division lemma to get

82 = 27 x 3 + 1

We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get

27 = 1 x 27 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4446 and 8101 is 1

Notice that 1 = HCF(27,1) = HCF(82,27) = HCF(109,82) = HCF(191,109) = HCF(300,191) = HCF(491,300) = HCF(791,491) = HCF(3655,791) = HCF(4446,3655) = HCF(8101,4446) .

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Frequently Asked Questions on HCF of 4446, 8101 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 4446, 8101?

Answer: HCF of 4446, 8101 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4446, 8101 using Euclid's Algorithm?

Answer: For arbitrary numbers 4446, 8101 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.