Highest Common Factor of 4101, 5739 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 4101, 5739 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4101, 5739 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 4101, 5739 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 4101, 5739 is 3.
HCF(4101, 5739) = 3
HCF of 4101, 5739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4101, 5739 is 3.
Highest Common Factor of 4101,5739 is 3
Step 1: Since 5739 > 4101, we apply the division lemma to 5739 and 4101, to get
5739 = 4101 x 1 + 1638
Step 2: Since the reminder 4101 ≠ 0, we apply division lemma to 1638 and 4101, to get
4101 = 1638 x 2 + 825
Step 3: We consider the new divisor 1638 and the new remainder 825, and apply the division lemma to get
1638 = 825 x 1 + 813
We consider the new divisor 825 and the new remainder 813,and apply the division lemma to get
825 = 813 x 1 + 12
We consider the new divisor 813 and the new remainder 12,and apply the division lemma to get
813 = 12 x 67 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4101 and 5739 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(813,12) = HCF(825,813) = HCF(1638,825) = HCF(4101,1638) = HCF(5739,4101) .
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Frequently Asked Questions on HCF of 4101, 5739 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 4101, 5739?
Answer: HCF of 4101, 5739 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4101, 5739 using Euclid's Algorithm?
Answer: For arbitrary numbers 4101, 5739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
