Highest Common Factor of 5871, 3136 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 5871, 3136 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5871, 3136 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 5871, 3136 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 5871, 3136 is 1.
HCF(5871, 3136) = 1
HCF of 5871, 3136 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5871, 3136 is 1.
Highest Common Factor of 5871,3136 is 1
Step 1: Since 5871 > 3136, we apply the division lemma to 5871 and 3136, to get
5871 = 3136 x 1 + 2735
Step 2: Since the reminder 3136 ≠ 0, we apply division lemma to 2735 and 3136, to get
3136 = 2735 x 1 + 401
Step 3: We consider the new divisor 2735 and the new remainder 401, and apply the division lemma to get
2735 = 401 x 6 + 329
We consider the new divisor 401 and the new remainder 329,and apply the division lemma to get
401 = 329 x 1 + 72
We consider the new divisor 329 and the new remainder 72,and apply the division lemma to get
329 = 72 x 4 + 41
We consider the new divisor 72 and the new remainder 41,and apply the division lemma to get
72 = 41 x 1 + 31
We consider the new divisor 41 and the new remainder 31,and apply the division lemma to get
41 = 31 x 1 + 10
We consider the new divisor 31 and the new remainder 10,and apply the division lemma to get
31 = 10 x 3 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5871 and 3136 is 1
Notice that 1 = HCF(10,1) = HCF(31,10) = HCF(41,31) = HCF(72,41) = HCF(329,72) = HCF(401,329) = HCF(2735,401) = HCF(3136,2735) = HCF(5871,3136) .
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Frequently Asked Questions on HCF of 5871, 3136 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 5871, 3136?
Answer: HCF of 5871, 3136 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5871, 3136 using Euclid's Algorithm?
Answer: For arbitrary numbers 5871, 3136 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.