Highest Common Factor of 7683, 3729 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 7683, 3729 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 7683, 3729 is 3 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 7683, 3729 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 7683, 3729 is 3.
HCF(7683, 3729) = 3
HCF of 7683, 3729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7683, 3729 is 3.
Highest Common Factor of 7683,3729 is 3
Step 1: Since 7683 > 3729, we apply the division lemma to 7683 and 3729, to get
7683 = 3729 x 2 + 225
Step 2: Since the reminder 3729 ≠ 0, we apply division lemma to 225 and 3729, to get
3729 = 225 x 16 + 129
Step 3: We consider the new divisor 225 and the new remainder 129, and apply the division lemma to get
225 = 129 x 1 + 96
We consider the new divisor 129 and the new remainder 96,and apply the division lemma to get
129 = 96 x 1 + 33
We consider the new divisor 96 and the new remainder 33,and apply the division lemma to get
96 = 33 x 2 + 30
We consider the new divisor 33 and the new remainder 30,and apply the division lemma to get
33 = 30 x 1 + 3
We consider the new divisor 30 and the new remainder 3,and apply the division lemma to get
30 = 3 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 7683 and 3729 is 3
Notice that 3 = HCF(30,3) = HCF(33,30) = HCF(96,33) = HCF(129,96) = HCF(225,129) = HCF(3729,225) = HCF(7683,3729) .
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Frequently Asked Questions on HCF of 7683, 3729 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 7683, 3729?
Answer: HCF of 7683, 3729 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7683, 3729 using Euclid's Algorithm?
Answer: For arbitrary numbers 7683, 3729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.