Highest Common Factor of 3983, 2389 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 3983, 2389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3983, 2389 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 3983, 2389 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 3983, 2389 is 1.
HCF(3983, 2389) = 1
HCF of 3983, 2389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3983, 2389 is 1.
Highest Common Factor of 3983,2389 is 1
Step 1: Since 3983 > 2389, we apply the division lemma to 3983 and 2389, to get
3983 = 2389 x 1 + 1594
Step 2: Since the reminder 2389 ≠ 0, we apply division lemma to 1594 and 2389, to get
2389 = 1594 x 1 + 795
Step 3: We consider the new divisor 1594 and the new remainder 795, and apply the division lemma to get
1594 = 795 x 2 + 4
We consider the new divisor 795 and the new remainder 4,and apply the division lemma to get
795 = 4 x 198 + 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 3983 and 2389 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(795,4) = HCF(1594,795) = HCF(2389,1594) = HCF(3983,2389) .
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Frequently Asked Questions on HCF of 3983, 2389 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 3983, 2389?
Answer: HCF of 3983, 2389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3983, 2389 using Euclid's Algorithm?
Answer: For arbitrary numbers 3983, 2389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.