Highest Common Factor of 5831, 4321 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 5831, 4321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5831, 4321 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 5831, 4321 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 5831, 4321 is 1.
HCF(5831, 4321) = 1
HCF of 5831, 4321 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5831, 4321 is 1.
Highest Common Factor of 5831,4321 is 1
Step 1: Since 5831 > 4321, we apply the division lemma to 5831 and 4321, to get
5831 = 4321 x 1 + 1510
Step 2: Since the reminder 4321 ≠ 0, we apply division lemma to 1510 and 4321, to get
4321 = 1510 x 2 + 1301
Step 3: We consider the new divisor 1510 and the new remainder 1301, and apply the division lemma to get
1510 = 1301 x 1 + 209
We consider the new divisor 1301 and the new remainder 209,and apply the division lemma to get
1301 = 209 x 6 + 47
We consider the new divisor 209 and the new remainder 47,and apply the division lemma to get
209 = 47 x 4 + 21
We consider the new divisor 47 and the new remainder 21,and apply the division lemma to get
47 = 21 x 2 + 5
We consider the new divisor 21 and the new remainder 5,and apply the division lemma to get
21 = 5 x 4 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5831 and 4321 is 1
Notice that 1 = HCF(5,1) = HCF(21,5) = HCF(47,21) = HCF(209,47) = HCF(1301,209) = HCF(1510,1301) = HCF(4321,1510) = HCF(5831,4321) .
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Frequently Asked Questions on HCF of 5831, 4321 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 5831, 4321?
Answer: HCF of 5831, 4321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5831, 4321 using Euclid's Algorithm?
Answer: For arbitrary numbers 5831, 4321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
