Highest Common Factor of 8659, 8217 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 8659, 8217 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8659, 8217 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 8659, 8217 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 8659, 8217 is 1.
HCF(8659, 8217) = 1
HCF of 8659, 8217 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8659, 8217 is 1.
Highest Common Factor of 8659,8217 is 1
Step 1: Since 8659 > 8217, we apply the division lemma to 8659 and 8217, to get
8659 = 8217 x 1 + 442
Step 2: Since the reminder 8217 ≠ 0, we apply division lemma to 442 and 8217, to get
8217 = 442 x 18 + 261
Step 3: We consider the new divisor 442 and the new remainder 261, and apply the division lemma to get
442 = 261 x 1 + 181
We consider the new divisor 261 and the new remainder 181,and apply the division lemma to get
261 = 181 x 1 + 80
We consider the new divisor 181 and the new remainder 80,and apply the division lemma to get
181 = 80 x 2 + 21
We consider the new divisor 80 and the new remainder 21,and apply the division lemma to get
80 = 21 x 3 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 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 8659 and 8217 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(80,21) = HCF(181,80) = HCF(261,181) = HCF(442,261) = HCF(8217,442) = HCF(8659,8217) .
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Frequently Asked Questions on HCF of 8659, 8217 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 8659, 8217?
Answer: HCF of 8659, 8217 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8659, 8217 using Euclid's Algorithm?
Answer: For arbitrary numbers 8659, 8217 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.