Highest Common Factor of 8963, 2315 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 8963, 2315 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8963, 2315 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 8963, 2315 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 8963, 2315 is 1.
HCF(8963, 2315) = 1
HCF of 8963, 2315 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8963, 2315 is 1.
Highest Common Factor of 8963,2315 is 1
Step 1: Since 8963 > 2315, we apply the division lemma to 8963 and 2315, to get
8963 = 2315 x 3 + 2018
Step 2: Since the reminder 2315 ≠ 0, we apply division lemma to 2018 and 2315, to get
2315 = 2018 x 1 + 297
Step 3: We consider the new divisor 2018 and the new remainder 297, and apply the division lemma to get
2018 = 297 x 6 + 236
We consider the new divisor 297 and the new remainder 236,and apply the division lemma to get
297 = 236 x 1 + 61
We consider the new divisor 236 and the new remainder 61,and apply the division lemma to get
236 = 61 x 3 + 53
We consider the new divisor 61 and the new remainder 53,and apply the division lemma to get
61 = 53 x 1 + 8
We consider the new divisor 53 and the new remainder 8,and apply the division lemma to get
53 = 8 x 6 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8963 and 2315 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(53,8) = HCF(61,53) = HCF(236,61) = HCF(297,236) = HCF(2018,297) = HCF(2315,2018) = HCF(8963,2315) .
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Frequently Asked Questions on HCF of 8963, 2315 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 8963, 2315?
Answer: HCF of 8963, 2315 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8963, 2315 using Euclid's Algorithm?
Answer: For arbitrary numbers 8963, 2315 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.