Highest Common Factor of 5682, 8471 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 5682, 8471 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5682, 8471 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 5682, 8471 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 5682, 8471 is 1.
HCF(5682, 8471) = 1
HCF of 5682, 8471 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5682, 8471 is 1.
Highest Common Factor of 5682,8471 is 1
Step 1: Since 8471 > 5682, we apply the division lemma to 8471 and 5682, to get
8471 = 5682 x 1 + 2789
Step 2: Since the reminder 5682 ≠ 0, we apply division lemma to 2789 and 5682, to get
5682 = 2789 x 2 + 104
Step 3: We consider the new divisor 2789 and the new remainder 104, and apply the division lemma to get
2789 = 104 x 26 + 85
We consider the new divisor 104 and the new remainder 85,and apply the division lemma to get
104 = 85 x 1 + 19
We consider the new divisor 85 and the new remainder 19,and apply the division lemma to get
85 = 19 x 4 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5682 and 8471 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(85,19) = HCF(104,85) = HCF(2789,104) = HCF(5682,2789) = HCF(8471,5682) .
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Frequently Asked Questions on HCF of 5682, 8471 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 5682, 8471?
Answer: HCF of 5682, 8471 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5682, 8471 using Euclid's Algorithm?
Answer: For arbitrary numbers 5682, 8471 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.