Highest Common Factor of 5071, 9115 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, 9115 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5071, 9115 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, 9115 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, 9115 is 1.
HCF(5071, 9115) = 1
HCF of 5071, 9115 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, 9115 is 1.
Highest Common Factor of 5071,9115 is 1
Step 1: Since 9115 > 5071, we apply the division lemma to 9115 and 5071, to get
9115 = 5071 x 1 + 4044
Step 2: Since the reminder 5071 ≠ 0, we apply division lemma to 4044 and 5071, to get
5071 = 4044 x 1 + 1027
Step 3: We consider the new divisor 4044 and the new remainder 1027, and apply the division lemma to get
4044 = 1027 x 3 + 963
We consider the new divisor 1027 and the new remainder 963,and apply the division lemma to get
1027 = 963 x 1 + 64
We consider the new divisor 963 and the new remainder 64,and apply the division lemma to get
963 = 64 x 15 + 3
We consider the new divisor 64 and the new remainder 3,and apply the division lemma to get
64 = 3 x 21 + 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 5071 and 9115 is 1
Notice that 1 = HCF(3,1) = HCF(64,3) = HCF(963,64) = HCF(1027,963) = HCF(4044,1027) = HCF(5071,4044) = HCF(9115,5071) .
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Frequently Asked Questions on HCF of 5071, 9115 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, 9115?
Answer: HCF of 5071, 9115 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5071, 9115 using Euclid's Algorithm?
Answer: For arbitrary numbers 5071, 9115 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.