Highest Common Factor of 5859, 8762 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 5859, 8762 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5859, 8762 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 5859, 8762 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 5859, 8762 is 1.
HCF(5859, 8762) = 1
HCF of 5859, 8762 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5859, 8762 is 1.
Highest Common Factor of 5859,8762 is 1
Step 1: Since 8762 > 5859, we apply the division lemma to 8762 and 5859, to get
8762 = 5859 x 1 + 2903
Step 2: Since the reminder 5859 ≠ 0, we apply division lemma to 2903 and 5859, to get
5859 = 2903 x 2 + 53
Step 3: We consider the new divisor 2903 and the new remainder 53, and apply the division lemma to get
2903 = 53 x 54 + 41
We consider the new divisor 53 and the new remainder 41,and apply the division lemma to get
53 = 41 x 1 + 12
We consider the new divisor 41 and the new remainder 12,and apply the division lemma to get
41 = 12 x 3 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 5859 and 8762 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(41,12) = HCF(53,41) = HCF(2903,53) = HCF(5859,2903) = HCF(8762,5859) .
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Frequently Asked Questions on HCF of 5859, 8762 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 5859, 8762?
Answer: HCF of 5859, 8762 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5859, 8762 using Euclid's Algorithm?
Answer: For arbitrary numbers 5859, 8762 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.