Highest Common Factor of 8096, 9143 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 8096, 9143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8096, 9143 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 8096, 9143 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 8096, 9143 is 1.
HCF(8096, 9143) = 1
HCF of 8096, 9143 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8096, 9143 is 1.
Highest Common Factor of 8096,9143 is 1
Step 1: Since 9143 > 8096, we apply the division lemma to 9143 and 8096, to get
9143 = 8096 x 1 + 1047
Step 2: Since the reminder 8096 ≠ 0, we apply division lemma to 1047 and 8096, to get
8096 = 1047 x 7 + 767
Step 3: We consider the new divisor 1047 and the new remainder 767, and apply the division lemma to get
1047 = 767 x 1 + 280
We consider the new divisor 767 and the new remainder 280,and apply the division lemma to get
767 = 280 x 2 + 207
We consider the new divisor 280 and the new remainder 207,and apply the division lemma to get
280 = 207 x 1 + 73
We consider the new divisor 207 and the new remainder 73,and apply the division lemma to get
207 = 73 x 2 + 61
We consider the new divisor 73 and the new remainder 61,and apply the division lemma to get
73 = 61 x 1 + 12
We consider the new divisor 61 and the new remainder 12,and apply the division lemma to get
61 = 12 x 5 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8096 and 9143 is 1
Notice that 1 = HCF(12,1) = HCF(61,12) = HCF(73,61) = HCF(207,73) = HCF(280,207) = HCF(767,280) = HCF(1047,767) = HCF(8096,1047) = HCF(9143,8096) .
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Frequently Asked Questions on HCF of 8096, 9143 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 8096, 9143?
Answer: HCF of 8096, 9143 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8096, 9143 using Euclid's Algorithm?
Answer: For arbitrary numbers 8096, 9143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.