Highest Common Factor of 5783, 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 5783, 9593 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5783, 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 5783, 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 5783, 9593 is 1.
HCF(5783, 9593) = 1
HCF of 5783, 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 5783, 9593 is 1.
Highest Common Factor of 5783,9593 is 1
Step 1: Since 9593 > 5783, we apply the division lemma to 9593 and 5783, to get
9593 = 5783 x 1 + 3810
Step 2: Since the reminder 5783 ≠ 0, we apply division lemma to 3810 and 5783, to get
5783 = 3810 x 1 + 1973
Step 3: We consider the new divisor 3810 and the new remainder 1973, and apply the division lemma to get
3810 = 1973 x 1 + 1837
We consider the new divisor 1973 and the new remainder 1837,and apply the division lemma to get
1973 = 1837 x 1 + 136
We consider the new divisor 1837 and the new remainder 136,and apply the division lemma to get
1837 = 136 x 13 + 69
We consider the new divisor 136 and the new remainder 69,and apply the division lemma to get
136 = 69 x 1 + 67
We consider the new divisor 69 and the new remainder 67,and apply the division lemma to get
69 = 67 x 1 + 2
We consider the new divisor 67 and the new remainder 2,and apply the division lemma to get
67 = 2 x 33 + 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 5783 and 9593 is 1
Notice that 1 = HCF(2,1) = HCF(67,2) = HCF(69,67) = HCF(136,69) = HCF(1837,136) = HCF(1973,1837) = HCF(3810,1973) = HCF(5783,3810) = HCF(9593,5783) .
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Frequently Asked Questions on HCF of 5783, 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 5783, 9593?
Answer: HCF of 5783, 9593 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5783, 9593 using Euclid's Algorithm?
Answer: For arbitrary numbers 5783, 9593 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.