Highest Common Factor of 5892, 3739 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 5892, 3739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5892, 3739 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 5892, 3739 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 5892, 3739 is 1.
HCF(5892, 3739) = 1
HCF of 5892, 3739 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5892, 3739 is 1.
Highest Common Factor of 5892,3739 is 1
Step 1: Since 5892 > 3739, we apply the division lemma to 5892 and 3739, to get
5892 = 3739 x 1 + 2153
Step 2: Since the reminder 3739 ≠ 0, we apply division lemma to 2153 and 3739, to get
3739 = 2153 x 1 + 1586
Step 3: We consider the new divisor 2153 and the new remainder 1586, and apply the division lemma to get
2153 = 1586 x 1 + 567
We consider the new divisor 1586 and the new remainder 567,and apply the division lemma to get
1586 = 567 x 2 + 452
We consider the new divisor 567 and the new remainder 452,and apply the division lemma to get
567 = 452 x 1 + 115
We consider the new divisor 452 and the new remainder 115,and apply the division lemma to get
452 = 115 x 3 + 107
We consider the new divisor 115 and the new remainder 107,and apply the division lemma to get
115 = 107 x 1 + 8
We consider the new divisor 107 and the new remainder 8,and apply the division lemma to get
107 = 8 x 13 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 5892 and 3739 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(107,8) = HCF(115,107) = HCF(452,115) = HCF(567,452) = HCF(1586,567) = HCF(2153,1586) = HCF(3739,2153) = HCF(5892,3739) .
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Frequently Asked Questions on HCF of 5892, 3739 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 5892, 3739?
Answer: HCF of 5892, 3739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5892, 3739 using Euclid's Algorithm?
Answer: For arbitrary numbers 5892, 3739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
