Highest Common Factor of 3041, 6476 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 3041, 6476 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3041, 6476 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 3041, 6476 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 3041, 6476 is 1.
HCF(3041, 6476) = 1
HCF of 3041, 6476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3041, 6476 is 1.
Highest Common Factor of 3041,6476 is 1
Step 1: Since 6476 > 3041, we apply the division lemma to 6476 and 3041, to get
6476 = 3041 x 2 + 394
Step 2: Since the reminder 3041 ≠ 0, we apply division lemma to 394 and 3041, to get
3041 = 394 x 7 + 283
Step 3: We consider the new divisor 394 and the new remainder 283, and apply the division lemma to get
394 = 283 x 1 + 111
We consider the new divisor 283 and the new remainder 111,and apply the division lemma to get
283 = 111 x 2 + 61
We consider the new divisor 111 and the new remainder 61,and apply the division lemma to get
111 = 61 x 1 + 50
We consider the new divisor 61 and the new remainder 50,and apply the division lemma to get
61 = 50 x 1 + 11
We consider the new divisor 50 and the new remainder 11,and apply the division lemma to get
50 = 11 x 4 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3041 and 6476 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(50,11) = HCF(61,50) = HCF(111,61) = HCF(283,111) = HCF(394,283) = HCF(3041,394) = HCF(6476,3041) .
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Frequently Asked Questions on HCF of 3041, 6476 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 3041, 6476?
Answer: HCF of 3041, 6476 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3041, 6476 using Euclid's Algorithm?
Answer: For arbitrary numbers 3041, 6476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
