Highest Common Factor of 9591, 5396 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, 5396 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9591, 5396 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, 5396 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, 5396 is 1.
HCF(9591, 5396) = 1
HCF of 9591, 5396 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, 5396 is 1.
Highest Common Factor of 9591,5396 is 1
Step 1: Since 9591 > 5396, we apply the division lemma to 9591 and 5396, to get
9591 = 5396 x 1 + 4195
Step 2: Since the reminder 5396 ≠ 0, we apply division lemma to 4195 and 5396, to get
5396 = 4195 x 1 + 1201
Step 3: We consider the new divisor 4195 and the new remainder 1201, and apply the division lemma to get
4195 = 1201 x 3 + 592
We consider the new divisor 1201 and the new remainder 592,and apply the division lemma to get
1201 = 592 x 2 + 17
We consider the new divisor 592 and the new remainder 17,and apply the division lemma to get
592 = 17 x 34 + 14
We consider the new divisor 17 and the new remainder 14,and apply the division lemma to get
17 = 14 x 1 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9591 and 5396 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(17,14) = HCF(592,17) = HCF(1201,592) = HCF(4195,1201) = HCF(5396,4195) = HCF(9591,5396) .
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Frequently Asked Questions on HCF of 9591, 5396 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, 5396?
Answer: HCF of 9591, 5396 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9591, 5396 using Euclid's Algorithm?
Answer: For arbitrary numbers 9591, 5396 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.