Highest Common Factor of 3995, 9729 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 3995, 9729 i.e. 47 the largest integer that leaves a remainder zero for all numbers.
HCF of 3995, 9729 is 47 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 3995, 9729 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 3995, 9729 is 47.
HCF(3995, 9729) = 47
HCF of 3995, 9729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3995, 9729 is 47.
Highest Common Factor of 3995,9729 is 47
Step 1: Since 9729 > 3995, we apply the division lemma to 9729 and 3995, to get
9729 = 3995 x 2 + 1739
Step 2: Since the reminder 3995 ≠ 0, we apply division lemma to 1739 and 3995, to get
3995 = 1739 x 2 + 517
Step 3: We consider the new divisor 1739 and the new remainder 517, and apply the division lemma to get
1739 = 517 x 3 + 188
We consider the new divisor 517 and the new remainder 188,and apply the division lemma to get
517 = 188 x 2 + 141
We consider the new divisor 188 and the new remainder 141,and apply the division lemma to get
188 = 141 x 1 + 47
We consider the new divisor 141 and the new remainder 47,and apply the division lemma to get
141 = 47 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 3995 and 9729 is 47
Notice that 47 = HCF(141,47) = HCF(188,141) = HCF(517,188) = HCF(1739,517) = HCF(3995,1739) = HCF(9729,3995) .
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Frequently Asked Questions on HCF of 3995, 9729 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 3995, 9729?
Answer: HCF of 3995, 9729 is 47 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3995, 9729 using Euclid's Algorithm?
Answer: For arbitrary numbers 3995, 9729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.