Highest Common Factor of 5818, 3671 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 5818, 3671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5818, 3671 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 5818, 3671 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 5818, 3671 is 1.
HCF(5818, 3671) = 1
HCF of 5818, 3671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5818, 3671 is 1.
Highest Common Factor of 5818,3671 is 1
Step 1: Since 5818 > 3671, we apply the division lemma to 5818 and 3671, to get
5818 = 3671 x 1 + 2147
Step 2: Since the reminder 3671 ≠ 0, we apply division lemma to 2147 and 3671, to get
3671 = 2147 x 1 + 1524
Step 3: We consider the new divisor 2147 and the new remainder 1524, and apply the division lemma to get
2147 = 1524 x 1 + 623
We consider the new divisor 1524 and the new remainder 623,and apply the division lemma to get
1524 = 623 x 2 + 278
We consider the new divisor 623 and the new remainder 278,and apply the division lemma to get
623 = 278 x 2 + 67
We consider the new divisor 278 and the new remainder 67,and apply the division lemma to get
278 = 67 x 4 + 10
We consider the new divisor 67 and the new remainder 10,and apply the division lemma to get
67 = 10 x 6 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 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 5818 and 3671 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(67,10) = HCF(278,67) = HCF(623,278) = HCF(1524,623) = HCF(2147,1524) = HCF(3671,2147) = HCF(5818,3671) .
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Frequently Asked Questions on HCF of 5818, 3671 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 5818, 3671?
Answer: HCF of 5818, 3671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5818, 3671 using Euclid's Algorithm?
Answer: For arbitrary numbers 5818, 3671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.