Highest Common Factor of 8013, 9593 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 8013, 9593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8013, 9593 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 8013, 9593 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 8013, 9593 is 1.
HCF(8013, 9593) = 1
HCF of 8013, 9593 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8013, 9593 is 1.
Highest Common Factor of 8013,9593 is 1
Step 1: Since 9593 > 8013, we apply the division lemma to 9593 and 8013, to get
9593 = 8013 x 1 + 1580
Step 2: Since the reminder 8013 ≠ 0, we apply division lemma to 1580 and 8013, to get
8013 = 1580 x 5 + 113
Step 3: We consider the new divisor 1580 and the new remainder 113, and apply the division lemma to get
1580 = 113 x 13 + 111
We consider the new divisor 113 and the new remainder 111,and apply the division lemma to get
113 = 111 x 1 + 2
We consider the new divisor 111 and the new remainder 2,and apply the division lemma to get
111 = 2 x 55 + 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 8013 and 9593 is 1
Notice that 1 = HCF(2,1) = HCF(111,2) = HCF(113,111) = HCF(1580,113) = HCF(8013,1580) = HCF(9593,8013) .
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Frequently Asked Questions on HCF of 8013, 9593 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 8013, 9593?
Answer: HCF of 8013, 9593 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8013, 9593 using Euclid's Algorithm?
Answer: For arbitrary numbers 8013, 9593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.