Highest Common Factor of 4289, 9393 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 4289, 9393 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4289, 9393 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 4289, 9393 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 4289, 9393 is 1.

HCF(4289, 9393) = 1

HCF of 4289, 9393 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 4289, 9393 is 1.

Highest Common Factor of 4289,9393 using Euclid's algorithm

Highest Common Factor of 4289,9393 is 1

Step 1: Since 9393 > 4289, we apply the division lemma to 9393 and 4289, to get

9393 = 4289 x 2 + 815

Step 2: Since the reminder 4289 ≠ 0, we apply division lemma to 815 and 4289, to get

4289 = 815 x 5 + 214

Step 3: We consider the new divisor 815 and the new remainder 214, and apply the division lemma to get

815 = 214 x 3 + 173

We consider the new divisor 214 and the new remainder 173,and apply the division lemma to get

214 = 173 x 1 + 41

We consider the new divisor 173 and the new remainder 41,and apply the division lemma to get

173 = 41 x 4 + 9

We consider the new divisor 41 and the new remainder 9,and apply the division lemma to get

41 = 9 x 4 + 5

We consider the new divisor 9 and the new remainder 5,and apply the division lemma to get

9 = 5 x 1 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4289 and 9393 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(41,9) = HCF(173,41) = HCF(214,173) = HCF(815,214) = HCF(4289,815) = HCF(9393,4289) .

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Frequently Asked Questions on HCF of 4289, 9393 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 4289, 9393?

Answer: HCF of 4289, 9393 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4289, 9393 using Euclid's Algorithm?

Answer: For arbitrary numbers 4289, 9393 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.