Highest Common Factor of 9845, 4319 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, 4319 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9845, 4319 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, 4319 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, 4319 is 1.

HCF(9845, 4319) = 1

HCF of 9845, 4319 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 9845, 4319 is 1.

Highest Common Factor of 9845,4319 using Euclid's algorithm

Highest Common Factor of 9845,4319 is 1

Step 1: Since 9845 > 4319, we apply the division lemma to 9845 and 4319, to get

9845 = 4319 x 2 + 1207

Step 2: Since the reminder 4319 ≠ 0, we apply division lemma to 1207 and 4319, to get

4319 = 1207 x 3 + 698

Step 3: We consider the new divisor 1207 and the new remainder 698, and apply the division lemma to get

1207 = 698 x 1 + 509

We consider the new divisor 698 and the new remainder 509,and apply the division lemma to get

698 = 509 x 1 + 189

We consider the new divisor 509 and the new remainder 189,and apply the division lemma to get

509 = 189 x 2 + 131

We consider the new divisor 189 and the new remainder 131,and apply the division lemma to get

189 = 131 x 1 + 58

We consider the new divisor 131 and the new remainder 58,and apply the division lemma to get

131 = 58 x 2 + 15

We consider the new divisor 58 and the new remainder 15,and apply the division lemma to get

58 = 15 x 3 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 4319 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(58,15) = HCF(131,58) = HCF(189,131) = HCF(509,189) = HCF(698,509) = HCF(1207,698) = HCF(4319,1207) = HCF(9845,4319) .

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Frequently Asked Questions on HCF of 9845, 4319 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, 4319?

Answer: HCF of 9845, 4319 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9845, 4319 using Euclid's Algorithm?

Answer: For arbitrary numbers 9845, 4319 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.