Highest Common Factor of 5906, 8215 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 5906, 8215 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5906, 8215 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 5906, 8215 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 5906, 8215 is 1.
HCF(5906, 8215) = 1
HCF of 5906, 8215 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5906, 8215 is 1.
Highest Common Factor of 5906,8215 is 1
Step 1: Since 8215 > 5906, we apply the division lemma to 8215 and 5906, to get
8215 = 5906 x 1 + 2309
Step 2: Since the reminder 5906 ≠ 0, we apply division lemma to 2309 and 5906, to get
5906 = 2309 x 2 + 1288
Step 3: We consider the new divisor 2309 and the new remainder 1288, and apply the division lemma to get
2309 = 1288 x 1 + 1021
We consider the new divisor 1288 and the new remainder 1021,and apply the division lemma to get
1288 = 1021 x 1 + 267
We consider the new divisor 1021 and the new remainder 267,and apply the division lemma to get
1021 = 267 x 3 + 220
We consider the new divisor 267 and the new remainder 220,and apply the division lemma to get
267 = 220 x 1 + 47
We consider the new divisor 220 and the new remainder 47,and apply the division lemma to get
220 = 47 x 4 + 32
We consider the new divisor 47 and the new remainder 32,and apply the division lemma to get
47 = 32 x 1 + 15
We consider the new divisor 32 and the new remainder 15,and apply the division lemma to get
32 = 15 x 2 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5906 and 8215 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(32,15) = HCF(47,32) = HCF(220,47) = HCF(267,220) = HCF(1021,267) = HCF(1288,1021) = HCF(2309,1288) = HCF(5906,2309) = HCF(8215,5906) .
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Frequently Asked Questions on HCF of 5906, 8215 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 5906, 8215?
Answer: HCF of 5906, 8215 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5906, 8215 using Euclid's Algorithm?
Answer: For arbitrary numbers 5906, 8215 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.