Highest Common Factor of 8631, 5926 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 8631, 5926 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8631, 5926 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 8631, 5926 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 8631, 5926 is 1.
HCF(8631, 5926) = 1
HCF of 8631, 5926 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8631, 5926 is 1.
Highest Common Factor of 8631,5926 is 1
Step 1: Since 8631 > 5926, we apply the division lemma to 8631 and 5926, to get
8631 = 5926 x 1 + 2705
Step 2: Since the reminder 5926 ≠ 0, we apply division lemma to 2705 and 5926, to get
5926 = 2705 x 2 + 516
Step 3: We consider the new divisor 2705 and the new remainder 516, and apply the division lemma to get
2705 = 516 x 5 + 125
We consider the new divisor 516 and the new remainder 125,and apply the division lemma to get
516 = 125 x 4 + 16
We consider the new divisor 125 and the new remainder 16,and apply the division lemma to get
125 = 16 x 7 + 13
We consider the new divisor 16 and the new remainder 13,and apply the division lemma to get
16 = 13 x 1 + 3
We consider the new divisor 13 and the new remainder 3,and apply the division lemma to get
13 = 3 x 4 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8631 and 5926 is 1
Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(16,13) = HCF(125,16) = HCF(516,125) = HCF(2705,516) = HCF(5926,2705) = HCF(8631,5926) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 8631, 5926 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 8631, 5926?
Answer: HCF of 8631, 5926 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8631, 5926 using Euclid's Algorithm?
Answer: For arbitrary numbers 8631, 5926 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.