Highest Common Factor of 8517, 3831 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 8517, 3831 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 8517, 3831 is 3 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 8517, 3831 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 8517, 3831 is 3.
HCF(8517, 3831) = 3
HCF of 8517, 3831 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8517, 3831 is 3.
Highest Common Factor of 8517,3831 is 3
Step 1: Since 8517 > 3831, we apply the division lemma to 8517 and 3831, to get
8517 = 3831 x 2 + 855
Step 2: Since the reminder 3831 ≠ 0, we apply division lemma to 855 and 3831, to get
3831 = 855 x 4 + 411
Step 3: We consider the new divisor 855 and the new remainder 411, and apply the division lemma to get
855 = 411 x 2 + 33
We consider the new divisor 411 and the new remainder 33,and apply the division lemma to get
411 = 33 x 12 + 15
We consider the new divisor 33 and the new remainder 15,and apply the division lemma to get
33 = 15 x 2 + 3
We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get
15 = 3 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 8517 and 3831 is 3
Notice that 3 = HCF(15,3) = HCF(33,15) = HCF(411,33) = HCF(855,411) = HCF(3831,855) = HCF(8517,3831) .
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Frequently Asked Questions on HCF of 8517, 3831 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 8517, 3831?
Answer: HCF of 8517, 3831 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8517, 3831 using Euclid's Algorithm?
Answer: For arbitrary numbers 8517, 3831 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.