Highest Common Factor of 4636, 2821 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 4636, 2821 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4636, 2821 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 4636, 2821 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 4636, 2821 is 1.
HCF(4636, 2821) = 1
HCF of 4636, 2821 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4636, 2821 is 1.
Highest Common Factor of 4636,2821 is 1
Step 1: Since 4636 > 2821, we apply the division lemma to 4636 and 2821, to get
4636 = 2821 x 1 + 1815
Step 2: Since the reminder 2821 ≠ 0, we apply division lemma to 1815 and 2821, to get
2821 = 1815 x 1 + 1006
Step 3: We consider the new divisor 1815 and the new remainder 1006, and apply the division lemma to get
1815 = 1006 x 1 + 809
We consider the new divisor 1006 and the new remainder 809,and apply the division lemma to get
1006 = 809 x 1 + 197
We consider the new divisor 809 and the new remainder 197,and apply the division lemma to get
809 = 197 x 4 + 21
We consider the new divisor 197 and the new remainder 21,and apply the division lemma to get
197 = 21 x 9 + 8
We consider the new divisor 21 and the new remainder 8,and apply the division lemma to get
21 = 8 x 2 + 5
We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get
8 = 5 x 1 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4636 and 2821 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(21,8) = HCF(197,21) = HCF(809,197) = HCF(1006,809) = HCF(1815,1006) = HCF(2821,1815) = HCF(4636,2821) .
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Frequently Asked Questions on HCF of 4636, 2821 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 4636, 2821?
Answer: HCF of 4636, 2821 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4636, 2821 using Euclid's Algorithm?
Answer: For arbitrary numbers 4636, 2821 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
