Highest Common Factor of 8389, 5820 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 8389, 5820 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8389, 5820 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 8389, 5820 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 8389, 5820 is 1.
HCF(8389, 5820) = 1
HCF of 8389, 5820 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8389, 5820 is 1.
Highest Common Factor of 8389,5820 is 1
Step 1: Since 8389 > 5820, we apply the division lemma to 8389 and 5820, to get
8389 = 5820 x 1 + 2569
Step 2: Since the reminder 5820 ≠ 0, we apply division lemma to 2569 and 5820, to get
5820 = 2569 x 2 + 682
Step 3: We consider the new divisor 2569 and the new remainder 682, and apply the division lemma to get
2569 = 682 x 3 + 523
We consider the new divisor 682 and the new remainder 523,and apply the division lemma to get
682 = 523 x 1 + 159
We consider the new divisor 523 and the new remainder 159,and apply the division lemma to get
523 = 159 x 3 + 46
We consider the new divisor 159 and the new remainder 46,and apply the division lemma to get
159 = 46 x 3 + 21
We consider the new divisor 46 and the new remainder 21,and apply the division lemma to get
46 = 21 x 2 + 4
We consider the new divisor 21 and the new remainder 4,and apply the division lemma to get
21 = 4 x 5 + 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 8389 and 5820 is 1
Notice that 1 = HCF(4,1) = HCF(21,4) = HCF(46,21) = HCF(159,46) = HCF(523,159) = HCF(682,523) = HCF(2569,682) = HCF(5820,2569) = HCF(8389,5820) .
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Frequently Asked Questions on HCF of 8389, 5820 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 8389, 5820?
Answer: HCF of 8389, 5820 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8389, 5820 using Euclid's Algorithm?
Answer: For arbitrary numbers 8389, 5820 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.