Highest Common Factor of 8260, 6843 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 8260, 6843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8260, 6843 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 8260, 6843 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 8260, 6843 is 1.
HCF(8260, 6843) = 1
HCF of 8260, 6843 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8260, 6843 is 1.
Highest Common Factor of 8260,6843 is 1
Step 1: Since 8260 > 6843, we apply the division lemma to 8260 and 6843, to get
8260 = 6843 x 1 + 1417
Step 2: Since the reminder 6843 ≠ 0, we apply division lemma to 1417 and 6843, to get
6843 = 1417 x 4 + 1175
Step 3: We consider the new divisor 1417 and the new remainder 1175, and apply the division lemma to get
1417 = 1175 x 1 + 242
We consider the new divisor 1175 and the new remainder 242,and apply the division lemma to get
1175 = 242 x 4 + 207
We consider the new divisor 242 and the new remainder 207,and apply the division lemma to get
242 = 207 x 1 + 35
We consider the new divisor 207 and the new remainder 35,and apply the division lemma to get
207 = 35 x 5 + 32
We consider the new divisor 35 and the new remainder 32,and apply the division lemma to get
35 = 32 x 1 + 3
We consider the new divisor 32 and the new remainder 3,and apply the division lemma to get
32 = 3 x 10 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8260 and 6843 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(32,3) = HCF(35,32) = HCF(207,35) = HCF(242,207) = HCF(1175,242) = HCF(1417,1175) = HCF(6843,1417) = HCF(8260,6843) .
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Frequently Asked Questions on HCF of 8260, 6843 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 8260, 6843?
Answer: HCF of 8260, 6843 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8260, 6843 using Euclid's Algorithm?
Answer: For arbitrary numbers 8260, 6843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.