Highest Common Factor of 9826, 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 9826, 5841 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9826, 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 9826, 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 9826, 5841 is 1.

HCF(9826, 5841) = 1

HCF of 9826, 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 9826, 5841 is 1.

Highest Common Factor of 9826,5841 using Euclid's algorithm

Highest Common Factor of 9826,5841 is 1

Step 1: Since 9826 > 5841, we apply the division lemma to 9826 and 5841, to get

9826 = 5841 x 1 + 3985

Step 2: Since the reminder 5841 ≠ 0, we apply division lemma to 3985 and 5841, to get

5841 = 3985 x 1 + 1856

Step 3: We consider the new divisor 3985 and the new remainder 1856, and apply the division lemma to get

3985 = 1856 x 2 + 273

We consider the new divisor 1856 and the new remainder 273,and apply the division lemma to get

1856 = 273 x 6 + 218

We consider the new divisor 273 and the new remainder 218,and apply the division lemma to get

273 = 218 x 1 + 55

We consider the new divisor 218 and the new remainder 55,and apply the division lemma to get

218 = 55 x 3 + 53

We consider the new divisor 55 and the new remainder 53,and apply the division lemma to get

55 = 53 x 1 + 2

We consider the new divisor 53 and the new remainder 2,and apply the division lemma to get

53 = 2 x 26 + 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 9826 and 5841 is 1

Notice that 1 = HCF(2,1) = HCF(53,2) = HCF(55,53) = HCF(218,55) = HCF(273,218) = HCF(1856,273) = HCF(3985,1856) = HCF(5841,3985) = HCF(9826,5841) .

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Frequently Asked Questions on HCF of 9826, 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 9826, 5841?

Answer: HCF of 9826, 5841 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9826, 5841 using Euclid's Algorithm?

Answer: For arbitrary numbers 9826, 5841 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.