Highest Common Factor of 9701, 8943 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 9701, 8943 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9701, 8943 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 9701, 8943 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 9701, 8943 is 1.
HCF(9701, 8943) = 1
HCF of 9701, 8943 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9701, 8943 is 1.
Highest Common Factor of 9701,8943 is 1
Step 1: Since 9701 > 8943, we apply the division lemma to 9701 and 8943, to get
9701 = 8943 x 1 + 758
Step 2: Since the reminder 8943 ≠ 0, we apply division lemma to 758 and 8943, to get
8943 = 758 x 11 + 605
Step 3: We consider the new divisor 758 and the new remainder 605, and apply the division lemma to get
758 = 605 x 1 + 153
We consider the new divisor 605 and the new remainder 153,and apply the division lemma to get
605 = 153 x 3 + 146
We consider the new divisor 153 and the new remainder 146,and apply the division lemma to get
153 = 146 x 1 + 7
We consider the new divisor 146 and the new remainder 7,and apply the division lemma to get
146 = 7 x 20 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9701 and 8943 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(146,7) = HCF(153,146) = HCF(605,153) = HCF(758,605) = HCF(8943,758) = HCF(9701,8943) .
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Frequently Asked Questions on HCF of 9701, 8943 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 9701, 8943?
Answer: HCF of 9701, 8943 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9701, 8943 using Euclid's Algorithm?
Answer: For arbitrary numbers 9701, 8943 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.