Highest Common Factor of 8010, 8441 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 8010, 8441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8010, 8441 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 8010, 8441 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 8010, 8441 is 1.

HCF(8010, 8441) = 1

HCF of 8010, 8441 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 8010, 8441 is 1.

Highest Common Factor of 8010,8441 using Euclid's algorithm

Highest Common Factor of 8010,8441 is 1

Step 1: Since 8441 > 8010, we apply the division lemma to 8441 and 8010, to get

8441 = 8010 x 1 + 431

Step 2: Since the reminder 8010 ≠ 0, we apply division lemma to 431 and 8010, to get

8010 = 431 x 18 + 252

Step 3: We consider the new divisor 431 and the new remainder 252, and apply the division lemma to get

431 = 252 x 1 + 179

We consider the new divisor 252 and the new remainder 179,and apply the division lemma to get

252 = 179 x 1 + 73

We consider the new divisor 179 and the new remainder 73,and apply the division lemma to get

179 = 73 x 2 + 33

We consider the new divisor 73 and the new remainder 33,and apply the division lemma to get

73 = 33 x 2 + 7

We consider the new divisor 33 and the new remainder 7,and apply the division lemma to get

33 = 7 x 4 + 5

We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get

7 = 5 x 1 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8010 and 8441 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(33,7) = HCF(73,33) = HCF(179,73) = HCF(252,179) = HCF(431,252) = HCF(8010,431) = HCF(8441,8010) .

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Frequently Asked Questions on HCF of 8010, 8441 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 8010, 8441?

Answer: HCF of 8010, 8441 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8010, 8441 using Euclid's Algorithm?

Answer: For arbitrary numbers 8010, 8441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.