Highest Common Factor of 2101, 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 2101, 3739 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2101, 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 2101, 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 2101, 3739 is 1.
HCF(2101, 3739) = 1
HCF of 2101, 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 2101, 3739 is 1.
Highest Common Factor of 2101,3739 is 1
Step 1: Since 3739 > 2101, we apply the division lemma to 3739 and 2101, to get
3739 = 2101 x 1 + 1638
Step 2: Since the reminder 2101 ≠ 0, we apply division lemma to 1638 and 2101, to get
2101 = 1638 x 1 + 463
Step 3: We consider the new divisor 1638 and the new remainder 463, and apply the division lemma to get
1638 = 463 x 3 + 249
We consider the new divisor 463 and the new remainder 249,and apply the division lemma to get
463 = 249 x 1 + 214
We consider the new divisor 249 and the new remainder 214,and apply the division lemma to get
249 = 214 x 1 + 35
We consider the new divisor 214 and the new remainder 35,and apply the division lemma to get
214 = 35 x 6 + 4
We consider the new divisor 35 and the new remainder 4,and apply the division lemma to get
35 = 4 x 8 + 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 2101 and 3739 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(35,4) = HCF(214,35) = HCF(249,214) = HCF(463,249) = HCF(1638,463) = HCF(2101,1638) = HCF(3739,2101) .
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Frequently Asked Questions on HCF of 2101, 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 2101, 3739?
Answer: HCF of 2101, 3739 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2101, 3739 using Euclid's Algorithm?
Answer: For arbitrary numbers 2101, 3739 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.