Highest Common Factor of 5429, 8584 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 5429, 8584 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5429, 8584 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 5429, 8584 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 5429, 8584 is 1.

HCF(5429, 8584) = 1

HCF of 5429, 8584 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 5429, 8584 is 1.

Highest Common Factor of 5429,8584 using Euclid's algorithm

Highest Common Factor of 5429,8584 is 1

Step 1: Since 8584 > 5429, we apply the division lemma to 8584 and 5429, to get

8584 = 5429 x 1 + 3155

Step 2: Since the reminder 5429 ≠ 0, we apply division lemma to 3155 and 5429, to get

5429 = 3155 x 1 + 2274

Step 3: We consider the new divisor 3155 and the new remainder 2274, and apply the division lemma to get

3155 = 2274 x 1 + 881

We consider the new divisor 2274 and the new remainder 881,and apply the division lemma to get

2274 = 881 x 2 + 512

We consider the new divisor 881 and the new remainder 512,and apply the division lemma to get

881 = 512 x 1 + 369

We consider the new divisor 512 and the new remainder 369,and apply the division lemma to get

512 = 369 x 1 + 143

We consider the new divisor 369 and the new remainder 143,and apply the division lemma to get

369 = 143 x 2 + 83

We consider the new divisor 143 and the new remainder 83,and apply the division lemma to get

143 = 83 x 1 + 60

We consider the new divisor 83 and the new remainder 60,and apply the division lemma to get

83 = 60 x 1 + 23

We consider the new divisor 60 and the new remainder 23,and apply the division lemma to get

60 = 23 x 2 + 14

We consider the new divisor 23 and the new remainder 14,and apply the division lemma to get

23 = 14 x 1 + 9

We consider the new divisor 14 and the new remainder 9,and apply the division lemma to get

14 = 9 x 1 + 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 5429 and 8584 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(9,5) = HCF(14,9) = HCF(23,14) = HCF(60,23) = HCF(83,60) = HCF(143,83) = HCF(369,143) = HCF(512,369) = HCF(881,512) = HCF(2274,881) = HCF(3155,2274) = HCF(5429,3155) = HCF(8584,5429) .

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Frequently Asked Questions on HCF of 5429, 8584 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 5429, 8584?

Answer: HCF of 5429, 8584 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5429, 8584 using Euclid's Algorithm?

Answer: For arbitrary numbers 5429, 8584 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.