Highest Common Factor of 1831, 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 1831, 4321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1831, 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 1831, 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 1831, 4321 is 1.
HCF(1831, 4321) = 1
HCF of 1831, 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 1831, 4321 is 1.
Highest Common Factor of 1831,4321 is 1
Step 1: Since 4321 > 1831, we apply the division lemma to 4321 and 1831, to get
4321 = 1831 x 2 + 659
Step 2: Since the reminder 1831 ≠ 0, we apply division lemma to 659 and 1831, to get
1831 = 659 x 2 + 513
Step 3: We consider the new divisor 659 and the new remainder 513, and apply the division lemma to get
659 = 513 x 1 + 146
We consider the new divisor 513 and the new remainder 146,and apply the division lemma to get
513 = 146 x 3 + 75
We consider the new divisor 146 and the new remainder 75,and apply the division lemma to get
146 = 75 x 1 + 71
We consider the new divisor 75 and the new remainder 71,and apply the division lemma to get
75 = 71 x 1 + 4
We consider the new divisor 71 and the new remainder 4,and apply the division lemma to get
71 = 4 x 17 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 1831 and 4321 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(71,4) = HCF(75,71) = HCF(146,75) = HCF(513,146) = HCF(659,513) = HCF(1831,659) = HCF(4321,1831) .
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Frequently Asked Questions on HCF of 1831, 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 1831, 4321?
Answer: HCF of 1831, 4321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1831, 4321 using Euclid's Algorithm?
Answer: For arbitrary numbers 1831, 4321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.