Highest Common Factor of 8405, 5044 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 8405, 5044 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8405, 5044 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 8405, 5044 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 8405, 5044 is 1.

HCF(8405, 5044) = 1

HCF of 8405, 5044 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 8405, 5044 is 1.

Highest Common Factor of 8405,5044 using Euclid's algorithm

Highest Common Factor of 8405,5044 is 1

Step 1: Since 8405 > 5044, we apply the division lemma to 8405 and 5044, to get

8405 = 5044 x 1 + 3361

Step 2: Since the reminder 5044 ≠ 0, we apply division lemma to 3361 and 5044, to get

5044 = 3361 x 1 + 1683

Step 3: We consider the new divisor 3361 and the new remainder 1683, and apply the division lemma to get

3361 = 1683 x 1 + 1678

We consider the new divisor 1683 and the new remainder 1678,and apply the division lemma to get

1683 = 1678 x 1 + 5

We consider the new divisor 1678 and the new remainder 5,and apply the division lemma to get

1678 = 5 x 335 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 8405 and 5044 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(1678,5) = HCF(1683,1678) = HCF(3361,1683) = HCF(5044,3361) = HCF(8405,5044) .

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Frequently Asked Questions on HCF of 8405, 5044 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 8405, 5044?

Answer: HCF of 8405, 5044 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8405, 5044 using Euclid's Algorithm?

Answer: For arbitrary numbers 8405, 5044 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.