Highest Common Factor of 8303, 8693 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 8303, 8693 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8303, 8693 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 8303, 8693 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 8303, 8693 is 1.
HCF(8303, 8693) = 1
HCF of 8303, 8693 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8303, 8693 is 1.
Highest Common Factor of 8303,8693 is 1
Step 1: Since 8693 > 8303, we apply the division lemma to 8693 and 8303, to get
8693 = 8303 x 1 + 390
Step 2: Since the reminder 8303 ≠ 0, we apply division lemma to 390 and 8303, to get
8303 = 390 x 21 + 113
Step 3: We consider the new divisor 390 and the new remainder 113, and apply the division lemma to get
390 = 113 x 3 + 51
We consider the new divisor 113 and the new remainder 51,and apply the division lemma to get
113 = 51 x 2 + 11
We consider the new divisor 51 and the new remainder 11,and apply the division lemma to get
51 = 11 x 4 + 7
We consider the new divisor 11 and the new remainder 7,and apply the division lemma to get
11 = 7 x 1 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 8303 and 8693 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(11,7) = HCF(51,11) = HCF(113,51) = HCF(390,113) = HCF(8303,390) = HCF(8693,8303) .
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Frequently Asked Questions on HCF of 8303, 8693 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 8303, 8693?
Answer: HCF of 8303, 8693 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8303, 8693 using Euclid's Algorithm?
Answer: For arbitrary numbers 8303, 8693 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.