Highest Common Factor of 3826, 6929 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 3826, 6929 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3826, 6929 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 3826, 6929 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 3826, 6929 is 1.
HCF(3826, 6929) = 1
HCF of 3826, 6929 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3826, 6929 is 1.
Highest Common Factor of 3826,6929 is 1
Step 1: Since 6929 > 3826, we apply the division lemma to 6929 and 3826, to get
6929 = 3826 x 1 + 3103
Step 2: Since the reminder 3826 ≠ 0, we apply division lemma to 3103 and 3826, to get
3826 = 3103 x 1 + 723
Step 3: We consider the new divisor 3103 and the new remainder 723, and apply the division lemma to get
3103 = 723 x 4 + 211
We consider the new divisor 723 and the new remainder 211,and apply the division lemma to get
723 = 211 x 3 + 90
We consider the new divisor 211 and the new remainder 90,and apply the division lemma to get
211 = 90 x 2 + 31
We consider the new divisor 90 and the new remainder 31,and apply the division lemma to get
90 = 31 x 2 + 28
We consider the new divisor 31 and the new remainder 28,and apply the division lemma to get
31 = 28 x 1 + 3
We consider the new divisor 28 and the new remainder 3,and apply the division lemma to get
28 = 3 x 9 + 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 3826 and 6929 is 1
Notice that 1 = HCF(3,1) = HCF(28,3) = HCF(31,28) = HCF(90,31) = HCF(211,90) = HCF(723,211) = HCF(3103,723) = HCF(3826,3103) = HCF(6929,3826) .
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Frequently Asked Questions on HCF of 3826, 6929 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 3826, 6929?
Answer: HCF of 3826, 6929 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3826, 6929 using Euclid's Algorithm?
Answer: For arbitrary numbers 3826, 6929 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.