Highest Common Factor of 9706, 8293 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 9706, 8293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9706, 8293 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 9706, 8293 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 9706, 8293 is 1.
HCF(9706, 8293) = 1
HCF of 9706, 8293 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9706, 8293 is 1.
Highest Common Factor of 9706,8293 is 1
Step 1: Since 9706 > 8293, we apply the division lemma to 9706 and 8293, to get
9706 = 8293 x 1 + 1413
Step 2: Since the reminder 8293 ≠ 0, we apply division lemma to 1413 and 8293, to get
8293 = 1413 x 5 + 1228
Step 3: We consider the new divisor 1413 and the new remainder 1228, and apply the division lemma to get
1413 = 1228 x 1 + 185
We consider the new divisor 1228 and the new remainder 185,and apply the division lemma to get
1228 = 185 x 6 + 118
We consider the new divisor 185 and the new remainder 118,and apply the division lemma to get
185 = 118 x 1 + 67
We consider the new divisor 118 and the new remainder 67,and apply the division lemma to get
118 = 67 x 1 + 51
We consider the new divisor 67 and the new remainder 51,and apply the division lemma to get
67 = 51 x 1 + 16
We consider the new divisor 51 and the new remainder 16,and apply the division lemma to get
51 = 16 x 3 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9706 and 8293 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(51,16) = HCF(67,51) = HCF(118,67) = HCF(185,118) = HCF(1228,185) = HCF(1413,1228) = HCF(8293,1413) = HCF(9706,8293) .
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Frequently Asked Questions on HCF of 9706, 8293 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 9706, 8293?
Answer: HCF of 9706, 8293 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9706, 8293 using Euclid's Algorithm?
Answer: For arbitrary numbers 9706, 8293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.