Highest Common Factor of 4723, 9104 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 4723, 9104 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4723, 9104 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 4723, 9104 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 4723, 9104 is 1.

HCF(4723, 9104) = 1

HCF of 4723, 9104 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 4723, 9104 is 1.

Highest Common Factor of 4723,9104 using Euclid's algorithm

Highest Common Factor of 4723,9104 is 1

Step 1: Since 9104 > 4723, we apply the division lemma to 9104 and 4723, to get

9104 = 4723 x 1 + 4381

Step 2: Since the reminder 4723 ≠ 0, we apply division lemma to 4381 and 4723, to get

4723 = 4381 x 1 + 342

Step 3: We consider the new divisor 4381 and the new remainder 342, and apply the division lemma to get

4381 = 342 x 12 + 277

We consider the new divisor 342 and the new remainder 277,and apply the division lemma to get

342 = 277 x 1 + 65

We consider the new divisor 277 and the new remainder 65,and apply the division lemma to get

277 = 65 x 4 + 17

We consider the new divisor 65 and the new remainder 17,and apply the division lemma to get

65 = 17 x 3 + 14

We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get

17 = 14 x 1 + 3

We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get

14 = 3 x 4 + 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 4723 and 9104 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(65,17) = HCF(277,65) = HCF(342,277) = HCF(4381,342) = HCF(4723,4381) = HCF(9104,4723) .

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Frequently Asked Questions on HCF of 4723, 9104 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 4723, 9104?

Answer: HCF of 4723, 9104 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4723, 9104 using Euclid's Algorithm?

Answer: For arbitrary numbers 4723, 9104 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.