Highest Common Factor of 5834, 8732 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 5834, 8732 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 5834, 8732 is 2 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 5834, 8732 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 5834, 8732 is 2.
HCF(5834, 8732) = 2
HCF of 5834, 8732 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5834, 8732 is 2.
Highest Common Factor of 5834,8732 is 2
Step 1: Since 8732 > 5834, we apply the division lemma to 8732 and 5834, to get
8732 = 5834 x 1 + 2898
Step 2: Since the reminder 5834 ≠ 0, we apply division lemma to 2898 and 5834, to get
5834 = 2898 x 2 + 38
Step 3: We consider the new divisor 2898 and the new remainder 38, and apply the division lemma to get
2898 = 38 x 76 + 10
We consider the new divisor 38 and the new remainder 10,and apply the division lemma to get
38 = 10 x 3 + 8
We consider the new divisor 10 and the new remainder 8,and apply the division lemma to get
10 = 8 x 1 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 5834 and 8732 is 2
Notice that 2 = HCF(8,2) = HCF(10,8) = HCF(38,10) = HCF(2898,38) = HCF(5834,2898) = HCF(8732,5834) .
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Frequently Asked Questions on HCF of 5834, 8732 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 5834, 8732?
Answer: HCF of 5834, 8732 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5834, 8732 using Euclid's Algorithm?
Answer: For arbitrary numbers 5834, 8732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.