Highest Common Factor of 5747, 3621 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 5747, 3621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5747, 3621 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 5747, 3621 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 5747, 3621 is 1.
HCF(5747, 3621) = 1
HCF of 5747, 3621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5747, 3621 is 1.
Highest Common Factor of 5747,3621 is 1
Step 1: Since 5747 > 3621, we apply the division lemma to 5747 and 3621, to get
5747 = 3621 x 1 + 2126
Step 2: Since the reminder 3621 ≠ 0, we apply division lemma to 2126 and 3621, to get
3621 = 2126 x 1 + 1495
Step 3: We consider the new divisor 2126 and the new remainder 1495, and apply the division lemma to get
2126 = 1495 x 1 + 631
We consider the new divisor 1495 and the new remainder 631,and apply the division lemma to get
1495 = 631 x 2 + 233
We consider the new divisor 631 and the new remainder 233,and apply the division lemma to get
631 = 233 x 2 + 165
We consider the new divisor 233 and the new remainder 165,and apply the division lemma to get
233 = 165 x 1 + 68
We consider the new divisor 165 and the new remainder 68,and apply the division lemma to get
165 = 68 x 2 + 29
We consider the new divisor 68 and the new remainder 29,and apply the division lemma to get
68 = 29 x 2 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 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 5747 and 3621 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(68,29) = HCF(165,68) = HCF(233,165) = HCF(631,233) = HCF(1495,631) = HCF(2126,1495) = HCF(3621,2126) = HCF(5747,3621) .
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Frequently Asked Questions on HCF of 5747, 3621 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 5747, 3621?
Answer: HCF of 5747, 3621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5747, 3621 using Euclid's Algorithm?
Answer: For arbitrary numbers 5747, 3621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.