Highest Common Factor of 4083, 2303 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 4083, 2303 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4083, 2303 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 4083, 2303 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 4083, 2303 is 1.
HCF(4083, 2303) = 1
HCF of 4083, 2303 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4083, 2303 is 1.
Highest Common Factor of 4083,2303 is 1
Step 1: Since 4083 > 2303, we apply the division lemma to 4083 and 2303, to get
4083 = 2303 x 1 + 1780
Step 2: Since the reminder 2303 ≠ 0, we apply division lemma to 1780 and 2303, to get
2303 = 1780 x 1 + 523
Step 3: We consider the new divisor 1780 and the new remainder 523, and apply the division lemma to get
1780 = 523 x 3 + 211
We consider the new divisor 523 and the new remainder 211,and apply the division lemma to get
523 = 211 x 2 + 101
We consider the new divisor 211 and the new remainder 101,and apply the division lemma to get
211 = 101 x 2 + 9
We consider the new divisor 101 and the new remainder 9,and apply the division lemma to get
101 = 9 x 11 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 4083 and 2303 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(101,9) = HCF(211,101) = HCF(523,211) = HCF(1780,523) = HCF(2303,1780) = HCF(4083,2303) .
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Frequently Asked Questions on HCF of 4083, 2303 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 4083, 2303?
Answer: HCF of 4083, 2303 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4083, 2303 using Euclid's Algorithm?
Answer: For arbitrary numbers 4083, 2303 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.