Highest Common Factor of 9693, 6582 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 9693, 6582 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9693, 6582 is 3 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 9693, 6582 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 9693, 6582 is 3.
HCF(9693, 6582) = 3
HCF of 9693, 6582 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9693, 6582 is 3.
Highest Common Factor of 9693,6582 is 3
Step 1: Since 9693 > 6582, we apply the division lemma to 9693 and 6582, to get
9693 = 6582 x 1 + 3111
Step 2: Since the reminder 6582 ≠ 0, we apply division lemma to 3111 and 6582, to get
6582 = 3111 x 2 + 360
Step 3: We consider the new divisor 3111 and the new remainder 360, and apply the division lemma to get
3111 = 360 x 8 + 231
We consider the new divisor 360 and the new remainder 231,and apply the division lemma to get
360 = 231 x 1 + 129
We consider the new divisor 231 and the new remainder 129,and apply the division lemma to get
231 = 129 x 1 + 102
We consider the new divisor 129 and the new remainder 102,and apply the division lemma to get
129 = 102 x 1 + 27
We consider the new divisor 102 and the new remainder 27,and apply the division lemma to get
102 = 27 x 3 + 21
We consider the new divisor 27 and the new remainder 21,and apply the division lemma to get
27 = 21 x 1 + 6
We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get
21 = 6 x 3 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9693 and 6582 is 3
Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(27,21) = HCF(102,27) = HCF(129,102) = HCF(231,129) = HCF(360,231) = HCF(3111,360) = HCF(6582,3111) = HCF(9693,6582) .
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Frequently Asked Questions on HCF of 9693, 6582 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 9693, 6582?
Answer: HCF of 9693, 6582 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9693, 6582 using Euclid's Algorithm?
Answer: For arbitrary numbers 9693, 6582 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.