Highest Common Factor of 3707, 5882 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 3707, 5882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3707, 5882 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 3707, 5882 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 3707, 5882 is 1.
HCF(3707, 5882) = 1
HCF of 3707, 5882 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3707, 5882 is 1.
Highest Common Factor of 3707,5882 is 1
Step 1: Since 5882 > 3707, we apply the division lemma to 5882 and 3707, to get
5882 = 3707 x 1 + 2175
Step 2: Since the reminder 3707 ≠ 0, we apply division lemma to 2175 and 3707, to get
3707 = 2175 x 1 + 1532
Step 3: We consider the new divisor 2175 and the new remainder 1532, and apply the division lemma to get
2175 = 1532 x 1 + 643
We consider the new divisor 1532 and the new remainder 643,and apply the division lemma to get
1532 = 643 x 2 + 246
We consider the new divisor 643 and the new remainder 246,and apply the division lemma to get
643 = 246 x 2 + 151
We consider the new divisor 246 and the new remainder 151,and apply the division lemma to get
246 = 151 x 1 + 95
We consider the new divisor 151 and the new remainder 95,and apply the division lemma to get
151 = 95 x 1 + 56
We consider the new divisor 95 and the new remainder 56,and apply the division lemma to get
95 = 56 x 1 + 39
We consider the new divisor 56 and the new remainder 39,and apply the division lemma to get
56 = 39 x 1 + 17
We consider the new divisor 39 and the new remainder 17,and apply the division lemma to get
39 = 17 x 2 + 5
We consider the new divisor 17 and the new remainder 5,and apply the division lemma to get
17 = 5 x 3 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 3707 and 5882 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(17,5) = HCF(39,17) = HCF(56,39) = HCF(95,56) = HCF(151,95) = HCF(246,151) = HCF(643,246) = HCF(1532,643) = HCF(2175,1532) = HCF(3707,2175) = HCF(5882,3707) .
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Frequently Asked Questions on HCF of 3707, 5882 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 3707, 5882?
Answer: HCF of 3707, 5882 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3707, 5882 using Euclid's Algorithm?
Answer: For arbitrary numbers 3707, 5882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
