Highest Common Factor of 8162, 5171 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 8162, 5171 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8162, 5171 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 8162, 5171 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 8162, 5171 is 1.
HCF(8162, 5171) = 1
HCF of 8162, 5171 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8162, 5171 is 1.
Highest Common Factor of 8162,5171 is 1
Step 1: Since 8162 > 5171, we apply the division lemma to 8162 and 5171, to get
8162 = 5171 x 1 + 2991
Step 2: Since the reminder 5171 ≠ 0, we apply division lemma to 2991 and 5171, to get
5171 = 2991 x 1 + 2180
Step 3: We consider the new divisor 2991 and the new remainder 2180, and apply the division lemma to get
2991 = 2180 x 1 + 811
We consider the new divisor 2180 and the new remainder 811,and apply the division lemma to get
2180 = 811 x 2 + 558
We consider the new divisor 811 and the new remainder 558,and apply the division lemma to get
811 = 558 x 1 + 253
We consider the new divisor 558 and the new remainder 253,and apply the division lemma to get
558 = 253 x 2 + 52
We consider the new divisor 253 and the new remainder 52,and apply the division lemma to get
253 = 52 x 4 + 45
We consider the new divisor 52 and the new remainder 45,and apply the division lemma to get
52 = 45 x 1 + 7
We consider the new divisor 45 and the new remainder 7,and apply the division lemma to get
45 = 7 x 6 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 8162 and 5171 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(45,7) = HCF(52,45) = HCF(253,52) = HCF(558,253) = HCF(811,558) = HCF(2180,811) = HCF(2991,2180) = HCF(5171,2991) = HCF(8162,5171) .
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Frequently Asked Questions on HCF of 8162, 5171 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 8162, 5171?
Answer: HCF of 8162, 5171 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8162, 5171 using Euclid's Algorithm?
Answer: For arbitrary numbers 8162, 5171 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.