Highest Common Factor of 6829, 1026 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 6829, 1026 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6829, 1026 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 6829, 1026 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 6829, 1026 is 1.
HCF(6829, 1026) = 1
HCF of 6829, 1026 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6829, 1026 is 1.
Highest Common Factor of 6829,1026 is 1
Step 1: Since 6829 > 1026, we apply the division lemma to 6829 and 1026, to get
6829 = 1026 x 6 + 673
Step 2: Since the reminder 1026 ≠ 0, we apply division lemma to 673 and 1026, to get
1026 = 673 x 1 + 353
Step 3: We consider the new divisor 673 and the new remainder 353, and apply the division lemma to get
673 = 353 x 1 + 320
We consider the new divisor 353 and the new remainder 320,and apply the division lemma to get
353 = 320 x 1 + 33
We consider the new divisor 320 and the new remainder 33,and apply the division lemma to get
320 = 33 x 9 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 6829 and 1026 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(320,33) = HCF(353,320) = HCF(673,353) = HCF(1026,673) = HCF(6829,1026) .
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Frequently Asked Questions on HCF of 6829, 1026 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 6829, 1026?
Answer: HCF of 6829, 1026 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6829, 1026 using Euclid's Algorithm?
Answer: For arbitrary numbers 6829, 1026 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.