Highest Common Factor of 3810, 6881 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 3810, 6881 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3810, 6881 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 3810, 6881 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 3810, 6881 is 1.
HCF(3810, 6881) = 1
HCF of 3810, 6881 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3810, 6881 is 1.
Highest Common Factor of 3810,6881 is 1
Step 1: Since 6881 > 3810, we apply the division lemma to 6881 and 3810, to get
6881 = 3810 x 1 + 3071
Step 2: Since the reminder 3810 ≠ 0, we apply division lemma to 3071 and 3810, to get
3810 = 3071 x 1 + 739
Step 3: We consider the new divisor 3071 and the new remainder 739, and apply the division lemma to get
3071 = 739 x 4 + 115
We consider the new divisor 739 and the new remainder 115,and apply the division lemma to get
739 = 115 x 6 + 49
We consider the new divisor 115 and the new remainder 49,and apply the division lemma to get
115 = 49 x 2 + 17
We consider the new divisor 49 and the new remainder 17,and apply the division lemma to get
49 = 17 x 2 + 15
We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get
17 = 15 x 1 + 2
We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get
15 = 2 x 7 + 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 3810 and 6881 is 1
Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(49,17) = HCF(115,49) = HCF(739,115) = HCF(3071,739) = HCF(3810,3071) = HCF(6881,3810) .
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Frequently Asked Questions on HCF of 3810, 6881 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 3810, 6881?
Answer: HCF of 3810, 6881 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3810, 6881 using Euclid's Algorithm?
Answer: For arbitrary numbers 3810, 6881 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
