Highest Common Factor of 5504, 9323 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 5504, 9323 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5504, 9323 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 5504, 9323 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 5504, 9323 is 1.

HCF(5504, 9323) = 1

HCF of 5504, 9323 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 5504, 9323 is 1.

Highest Common Factor of 5504,9323 using Euclid's algorithm

Highest Common Factor of 5504,9323 is 1

Step 1: Since 9323 > 5504, we apply the division lemma to 9323 and 5504, to get

9323 = 5504 x 1 + 3819

Step 2: Since the reminder 5504 ≠ 0, we apply division lemma to 3819 and 5504, to get

5504 = 3819 x 1 + 1685

Step 3: We consider the new divisor 3819 and the new remainder 1685, and apply the division lemma to get

3819 = 1685 x 2 + 449

We consider the new divisor 1685 and the new remainder 449,and apply the division lemma to get

1685 = 449 x 3 + 338

We consider the new divisor 449 and the new remainder 338,and apply the division lemma to get

449 = 338 x 1 + 111

We consider the new divisor 338 and the new remainder 111,and apply the division lemma to get

338 = 111 x 3 + 5

We consider the new divisor 111 and the new remainder 5,and apply the division lemma to get

111 = 5 x 22 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5504 and 9323 is 1

Notice that 1 = HCF(5,1) = HCF(111,5) = HCF(338,111) = HCF(449,338) = HCF(1685,449) = HCF(3819,1685) = HCF(5504,3819) = HCF(9323,5504) .

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Frequently Asked Questions on HCF of 5504, 9323 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 5504, 9323?

Answer: HCF of 5504, 9323 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5504, 9323 using Euclid's Algorithm?

Answer: For arbitrary numbers 5504, 9323 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.