Highest Common Factor of 5071, 7165 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 5071, 7165 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5071, 7165 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 5071, 7165 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 5071, 7165 is 1.
HCF(5071, 7165) = 1
HCF of 5071, 7165 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5071, 7165 is 1.
Highest Common Factor of 5071,7165 is 1
Step 1: Since 7165 > 5071, we apply the division lemma to 7165 and 5071, to get
7165 = 5071 x 1 + 2094
Step 2: Since the reminder 5071 ≠ 0, we apply division lemma to 2094 and 5071, to get
5071 = 2094 x 2 + 883
Step 3: We consider the new divisor 2094 and the new remainder 883, and apply the division lemma to get
2094 = 883 x 2 + 328
We consider the new divisor 883 and the new remainder 328,and apply the division lemma to get
883 = 328 x 2 + 227
We consider the new divisor 328 and the new remainder 227,and apply the division lemma to get
328 = 227 x 1 + 101
We consider the new divisor 227 and the new remainder 101,and apply the division lemma to get
227 = 101 x 2 + 25
We consider the new divisor 101 and the new remainder 25,and apply the division lemma to get
101 = 25 x 4 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5071 and 7165 is 1
Notice that 1 = HCF(25,1) = HCF(101,25) = HCF(227,101) = HCF(328,227) = HCF(883,328) = HCF(2094,883) = HCF(5071,2094) = HCF(7165,5071) .
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Frequently Asked Questions on HCF of 5071, 7165 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 5071, 7165?
Answer: HCF of 5071, 7165 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5071, 7165 using Euclid's Algorithm?
Answer: For arbitrary numbers 5071, 7165 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.