Highest Common Factor of 5887, 6218 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 5887, 6218 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5887, 6218 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 5887, 6218 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 5887, 6218 is 1.
HCF(5887, 6218) = 1
HCF of 5887, 6218 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5887, 6218 is 1.
Highest Common Factor of 5887,6218 is 1
Step 1: Since 6218 > 5887, we apply the division lemma to 6218 and 5887, to get
6218 = 5887 x 1 + 331
Step 2: Since the reminder 5887 ≠ 0, we apply division lemma to 331 and 5887, to get
5887 = 331 x 17 + 260
Step 3: We consider the new divisor 331 and the new remainder 260, and apply the division lemma to get
331 = 260 x 1 + 71
We consider the new divisor 260 and the new remainder 71,and apply the division lemma to get
260 = 71 x 3 + 47
We consider the new divisor 71 and the new remainder 47,and apply the division lemma to get
71 = 47 x 1 + 24
We consider the new divisor 47 and the new remainder 24,and apply the division lemma to get
47 = 24 x 1 + 23
We consider the new divisor 24 and the new remainder 23,and apply the division lemma to get
24 = 23 x 1 + 1
We consider the new divisor 23 and the new remainder 1,and apply the division lemma to get
23 = 1 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5887 and 6218 is 1
Notice that 1 = HCF(23,1) = HCF(24,23) = HCF(47,24) = HCF(71,47) = HCF(260,71) = HCF(331,260) = HCF(5887,331) = HCF(6218,5887) .
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Frequently Asked Questions on HCF of 5887, 6218 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 5887, 6218?
Answer: HCF of 5887, 6218 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5887, 6218 using Euclid's Algorithm?
Answer: For arbitrary numbers 5887, 6218 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.