Highest Common Factor of 5885, 9634 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 5885, 9634 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5885, 9634 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 5885, 9634 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 5885, 9634 is 1.
HCF(5885, 9634) = 1
HCF of 5885, 9634 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5885, 9634 is 1.
Highest Common Factor of 5885,9634 is 1
Step 1: Since 9634 > 5885, we apply the division lemma to 9634 and 5885, to get
9634 = 5885 x 1 + 3749
Step 2: Since the reminder 5885 ≠ 0, we apply division lemma to 3749 and 5885, to get
5885 = 3749 x 1 + 2136
Step 3: We consider the new divisor 3749 and the new remainder 2136, and apply the division lemma to get
3749 = 2136 x 1 + 1613
We consider the new divisor 2136 and the new remainder 1613,and apply the division lemma to get
2136 = 1613 x 1 + 523
We consider the new divisor 1613 and the new remainder 523,and apply the division lemma to get
1613 = 523 x 3 + 44
We consider the new divisor 523 and the new remainder 44,and apply the division lemma to get
523 = 44 x 11 + 39
We consider the new divisor 44 and the new remainder 39,and apply the division lemma to get
44 = 39 x 1 + 5
We consider the new divisor 39 and the new remainder 5,and apply the division lemma to get
39 = 5 x 7 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5885 and 9634 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(39,5) = HCF(44,39) = HCF(523,44) = HCF(1613,523) = HCF(2136,1613) = HCF(3749,2136) = HCF(5885,3749) = HCF(9634,5885) .
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Frequently Asked Questions on HCF of 5885, 9634 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 5885, 9634?
Answer: HCF of 5885, 9634 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5885, 9634 using Euclid's Algorithm?
Answer: For arbitrary numbers 5885, 9634 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.