Highest Common Factor of 8431, 3082 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 8431, 3082 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8431, 3082 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 8431, 3082 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 8431, 3082 is 1.
HCF(8431, 3082) = 1
HCF of 8431, 3082 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8431, 3082 is 1.
Highest Common Factor of 8431,3082 is 1
Step 1: Since 8431 > 3082, we apply the division lemma to 8431 and 3082, to get
8431 = 3082 x 2 + 2267
Step 2: Since the reminder 3082 ≠ 0, we apply division lemma to 2267 and 3082, to get
3082 = 2267 x 1 + 815
Step 3: We consider the new divisor 2267 and the new remainder 815, and apply the division lemma to get
2267 = 815 x 2 + 637
We consider the new divisor 815 and the new remainder 637,and apply the division lemma to get
815 = 637 x 1 + 178
We consider the new divisor 637 and the new remainder 178,and apply the division lemma to get
637 = 178 x 3 + 103
We consider the new divisor 178 and the new remainder 103,and apply the division lemma to get
178 = 103 x 1 + 75
We consider the new divisor 103 and the new remainder 75,and apply the division lemma to get
103 = 75 x 1 + 28
We consider the new divisor 75 and the new remainder 28,and apply the division lemma to get
75 = 28 x 2 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8431 and 3082 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(75,28) = HCF(103,75) = HCF(178,103) = HCF(637,178) = HCF(815,637) = HCF(2267,815) = HCF(3082,2267) = HCF(8431,3082) .
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Frequently Asked Questions on HCF of 8431, 3082 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 8431, 3082?
Answer: HCF of 8431, 3082 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8431, 3082 using Euclid's Algorithm?
Answer: For arbitrary numbers 8431, 3082 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.