Highest Common Factor of 2663, 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 2663, 4321 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2663, 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 2663, 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 2663, 4321 is 1.
HCF(2663, 4321) = 1
HCF of 2663, 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 2663, 4321 is 1.
Highest Common Factor of 2663,4321 is 1
Step 1: Since 4321 > 2663, we apply the division lemma to 4321 and 2663, to get
4321 = 2663 x 1 + 1658
Step 2: Since the reminder 2663 ≠ 0, we apply division lemma to 1658 and 2663, to get
2663 = 1658 x 1 + 1005
Step 3: We consider the new divisor 1658 and the new remainder 1005, and apply the division lemma to get
1658 = 1005 x 1 + 653
We consider the new divisor 1005 and the new remainder 653,and apply the division lemma to get
1005 = 653 x 1 + 352
We consider the new divisor 653 and the new remainder 352,and apply the division lemma to get
653 = 352 x 1 + 301
We consider the new divisor 352 and the new remainder 301,and apply the division lemma to get
352 = 301 x 1 + 51
We consider the new divisor 301 and the new remainder 51,and apply the division lemma to get
301 = 51 x 5 + 46
We consider the new divisor 51 and the new remainder 46,and apply the division lemma to get
51 = 46 x 1 + 5
We consider the new divisor 46 and the new remainder 5,and apply the division lemma to get
46 = 5 x 9 + 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 2663 and 4321 is 1
Notice that 1 = HCF(5,1) = HCF(46,5) = HCF(51,46) = HCF(301,51) = HCF(352,301) = HCF(653,352) = HCF(1005,653) = HCF(1658,1005) = HCF(2663,1658) = HCF(4321,2663) .
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Frequently Asked Questions on HCF of 2663, 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 2663, 4321?
Answer: HCF of 2663, 4321 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2663, 4321 using Euclid's Algorithm?
Answer: For arbitrary numbers 2663, 4321 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.