Highest Common Factor of 811, 61306 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 811, 61306 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 61306 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 811, 61306 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 811, 61306 is 1.
HCF(811, 61306) = 1
HCF of 811, 61306 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 61306 is 1.
Highest Common Factor of 811,61306 is 1
Step 1: Since 61306 > 811, we apply the division lemma to 61306 and 811, to get
61306 = 811 x 75 + 481
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 481 and 811, to get
811 = 481 x 1 + 330
Step 3: We consider the new divisor 481 and the new remainder 330, and apply the division lemma to get
481 = 330 x 1 + 151
We consider the new divisor 330 and the new remainder 151,and apply the division lemma to get
330 = 151 x 2 + 28
We consider the new divisor 151 and the new remainder 28,and apply the division lemma to get
151 = 28 x 5 + 11
We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get
28 = 11 x 2 + 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 811 and 61306 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(151,28) = HCF(330,151) = HCF(481,330) = HCF(811,481) = HCF(61306,811) .
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Frequently Asked Questions on HCF of 811, 61306 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 811, 61306?
Answer: HCF of 811, 61306 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 61306 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 61306 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.