Highest Common Factor of 1576, 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 1576, 3621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1576, 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 1576, 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 1576, 3621 is 1.
HCF(1576, 3621) = 1
HCF of 1576, 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 1576, 3621 is 1.
Highest Common Factor of 1576,3621 is 1
Step 1: Since 3621 > 1576, we apply the division lemma to 3621 and 1576, to get
3621 = 1576 x 2 + 469
Step 2: Since the reminder 1576 ≠ 0, we apply division lemma to 469 and 1576, to get
1576 = 469 x 3 + 169
Step 3: We consider the new divisor 469 and the new remainder 169, and apply the division lemma to get
469 = 169 x 2 + 131
We consider the new divisor 169 and the new remainder 131,and apply the division lemma to get
169 = 131 x 1 + 38
We consider the new divisor 131 and the new remainder 38,and apply the division lemma to get
131 = 38 x 3 + 17
We consider the new divisor 38 and the new remainder 17,and apply the division lemma to get
38 = 17 x 2 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1576 and 3621 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(38,17) = HCF(131,38) = HCF(169,131) = HCF(469,169) = HCF(1576,469) = HCF(3621,1576) .
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Frequently Asked Questions on HCF of 1576, 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 1576, 3621?
Answer: HCF of 1576, 3621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1576, 3621 using Euclid's Algorithm?
Answer: For arbitrary numbers 1576, 3621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.