Highest Common Factor of 8159, 4631 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 8159, 4631 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8159, 4631 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 8159, 4631 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 8159, 4631 is 1.
HCF(8159, 4631) = 1
HCF of 8159, 4631 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8159, 4631 is 1.
Highest Common Factor of 8159,4631 is 1
Step 1: Since 8159 > 4631, we apply the division lemma to 8159 and 4631, to get
8159 = 4631 x 1 + 3528
Step 2: Since the reminder 4631 ≠ 0, we apply division lemma to 3528 and 4631, to get
4631 = 3528 x 1 + 1103
Step 3: We consider the new divisor 3528 and the new remainder 1103, and apply the division lemma to get
3528 = 1103 x 3 + 219
We consider the new divisor 1103 and the new remainder 219,and apply the division lemma to get
1103 = 219 x 5 + 8
We consider the new divisor 219 and the new remainder 8,and apply the division lemma to get
219 = 8 x 27 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 8159 and 4631 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(219,8) = HCF(1103,219) = HCF(3528,1103) = HCF(4631,3528) = HCF(8159,4631) .
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Frequently Asked Questions on HCF of 8159, 4631 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 8159, 4631?
Answer: HCF of 8159, 4631 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8159, 4631 using Euclid's Algorithm?
Answer: For arbitrary numbers 8159, 4631 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.