Highest Common Factor of 586, 3883 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 586, 3883 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 586, 3883 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 586, 3883 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 586, 3883 is 1.
HCF(586, 3883) = 1
HCF of 586, 3883 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 586, 3883 is 1.
Highest Common Factor of 586,3883 is 1
Step 1: Since 3883 > 586, we apply the division lemma to 3883 and 586, to get
3883 = 586 x 6 + 367
Step 2: Since the reminder 586 ≠ 0, we apply division lemma to 367 and 586, to get
586 = 367 x 1 + 219
Step 3: We consider the new divisor 367 and the new remainder 219, and apply the division lemma to get
367 = 219 x 1 + 148
We consider the new divisor 219 and the new remainder 148,and apply the division lemma to get
219 = 148 x 1 + 71
We consider the new divisor 148 and the new remainder 71,and apply the division lemma to get
148 = 71 x 2 + 6
We consider the new divisor 71 and the new remainder 6,and apply the division lemma to get
71 = 6 x 11 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 586 and 3883 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(71,6) = HCF(148,71) = HCF(219,148) = HCF(367,219) = HCF(586,367) = HCF(3883,586) .
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Frequently Asked Questions on HCF of 586, 3883 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 586, 3883?
Answer: HCF of 586, 3883 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 586, 3883 using Euclid's Algorithm?
Answer: For arbitrary numbers 586, 3883 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.