Highest Common Factor of 9845, 8403 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 9845, 8403 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9845, 8403 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 9845, 8403 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 9845, 8403 is 1.

HCF(9845, 8403) = 1

HCF of 9845, 8403 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 9845, 8403 is 1.

Highest Common Factor of 9845,8403 using Euclid's algorithm

Highest Common Factor of 9845,8403 is 1

Step 1: Since 9845 > 8403, we apply the division lemma to 9845 and 8403, to get

9845 = 8403 x 1 + 1442

Step 2: Since the reminder 8403 ≠ 0, we apply division lemma to 1442 and 8403, to get

8403 = 1442 x 5 + 1193

Step 3: We consider the new divisor 1442 and the new remainder 1193, and apply the division lemma to get

1442 = 1193 x 1 + 249

We consider the new divisor 1193 and the new remainder 249,and apply the division lemma to get

1193 = 249 x 4 + 197

We consider the new divisor 249 and the new remainder 197,and apply the division lemma to get

249 = 197 x 1 + 52

We consider the new divisor 197 and the new remainder 52,and apply the division lemma to get

197 = 52 x 3 + 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 9845 and 8403 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(41,11) = HCF(52,41) = HCF(197,52) = HCF(249,197) = HCF(1193,249) = HCF(1442,1193) = HCF(8403,1442) = HCF(9845,8403) .

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Frequently Asked Questions on HCF of 9845, 8403 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 9845, 8403?

Answer: HCF of 9845, 8403 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9845, 8403 using Euclid's Algorithm?

Answer: For arbitrary numbers 9845, 8403 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.