Highest Common Factor of 8834, 5841 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 8834, 5841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8834, 5841 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 8834, 5841 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 8834, 5841 is 1.

HCF(8834, 5841) = 1

HCF of 8834, 5841 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 8834, 5841 is 1.

Highest Common Factor of 8834,5841 using Euclid's algorithm

Highest Common Factor of 8834,5841 is 1

Step 1: Since 8834 > 5841, we apply the division lemma to 8834 and 5841, to get

8834 = 5841 x 1 + 2993

Step 2: Since the reminder 5841 ≠ 0, we apply division lemma to 2993 and 5841, to get

5841 = 2993 x 1 + 2848

Step 3: We consider the new divisor 2993 and the new remainder 2848, and apply the division lemma to get

2993 = 2848 x 1 + 145

We consider the new divisor 2848 and the new remainder 145,and apply the division lemma to get

2848 = 145 x 19 + 93

We consider the new divisor 145 and the new remainder 93,and apply the division lemma to get

145 = 93 x 1 + 52

We consider the new divisor 93 and the new remainder 52,and apply the division lemma to get

93 = 52 x 1 + 41

We consider the new divisor 52 and the new remainder 41,and apply the division lemma to get

52 = 41 x 1 + 11

We consider the new divisor 41 and the new remainder 11,and apply the division lemma to get

41 = 11 x 3 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 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 8834 and 5841 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(93,52) = HCF(145,93) = HCF(2848,145) = HCF(2993,2848) = HCF(5841,2993) = HCF(8834,5841) .

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Frequently Asked Questions on HCF of 8834, 5841 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 8834, 5841?

Answer: HCF of 8834, 5841 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8834, 5841 using Euclid's Algorithm?

Answer: For arbitrary numbers 8834, 5841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.