Highest Common Factor of 9591, 5065 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 9591, 5065 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9591, 5065 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 9591, 5065 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 9591, 5065 is 1.
HCF(9591, 5065) = 1
HCF of 9591, 5065 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9591, 5065 is 1.
Highest Common Factor of 9591,5065 is 1
Step 1: Since 9591 > 5065, we apply the division lemma to 9591 and 5065, to get
9591 = 5065 x 1 + 4526
Step 2: Since the reminder 5065 ≠ 0, we apply division lemma to 4526 and 5065, to get
5065 = 4526 x 1 + 539
Step 3: We consider the new divisor 4526 and the new remainder 539, and apply the division lemma to get
4526 = 539 x 8 + 214
We consider the new divisor 539 and the new remainder 214,and apply the division lemma to get
539 = 214 x 2 + 111
We consider the new divisor 214 and the new remainder 111,and apply the division lemma to get
214 = 111 x 1 + 103
We consider the new divisor 111 and the new remainder 103,and apply the division lemma to get
111 = 103 x 1 + 8
We consider the new divisor 103 and the new remainder 8,and apply the division lemma to get
103 = 8 x 12 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9591 and 5065 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(103,8) = HCF(111,103) = HCF(214,111) = HCF(539,214) = HCF(4526,539) = HCF(5065,4526) = HCF(9591,5065) .
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Frequently Asked Questions on HCF of 9591, 5065 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 9591, 5065?
Answer: HCF of 9591, 5065 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9591, 5065 using Euclid's Algorithm?
Answer: For arbitrary numbers 9591, 5065 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.