Highest Common Factor of 6296, 8343 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 6296, 8343 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6296, 8343 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 6296, 8343 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 6296, 8343 is 1.
HCF(6296, 8343) = 1
HCF of 6296, 8343 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6296, 8343 is 1.
Highest Common Factor of 6296,8343 is 1
Step 1: Since 8343 > 6296, we apply the division lemma to 8343 and 6296, to get
8343 = 6296 x 1 + 2047
Step 2: Since the reminder 6296 ≠ 0, we apply division lemma to 2047 and 6296, to get
6296 = 2047 x 3 + 155
Step 3: We consider the new divisor 2047 and the new remainder 155, and apply the division lemma to get
2047 = 155 x 13 + 32
We consider the new divisor 155 and the new remainder 32,and apply the division lemma to get
155 = 32 x 4 + 27
We consider the new divisor 32 and the new remainder 27,and apply the division lemma to get
32 = 27 x 1 + 5
We consider the new divisor 27 and the new remainder 5,and apply the division lemma to get
27 = 5 x 5 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6296 and 8343 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(27,5) = HCF(32,27) = HCF(155,32) = HCF(2047,155) = HCF(6296,2047) = HCF(8343,6296) .
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Frequently Asked Questions on HCF of 6296, 8343 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 6296, 8343?
Answer: HCF of 6296, 8343 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6296, 8343 using Euclid's Algorithm?
Answer: For arbitrary numbers 6296, 8343 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.