Highest Common Factor of 571, 83184 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 571, 83184 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 571, 83184 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 571, 83184 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 571, 83184 is 1.
HCF(571, 83184) = 1
HCF of 571, 83184 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 571, 83184 is 1.
Highest Common Factor of 571,83184 is 1
Step 1: Since 83184 > 571, we apply the division lemma to 83184 and 571, to get
83184 = 571 x 145 + 389
Step 2: Since the reminder 571 ≠ 0, we apply division lemma to 389 and 571, to get
571 = 389 x 1 + 182
Step 3: We consider the new divisor 389 and the new remainder 182, and apply the division lemma to get
389 = 182 x 2 + 25
We consider the new divisor 182 and the new remainder 25,and apply the division lemma to get
182 = 25 x 7 + 7
We consider the new divisor 25 and the new remainder 7,and apply the division lemma to get
25 = 7 x 3 + 4
We consider the new divisor 7 and the new remainder 4,and apply the division lemma to get
7 = 4 x 1 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 571 and 83184 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(182,25) = HCF(389,182) = HCF(571,389) = HCF(83184,571) .
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Frequently Asked Questions on HCF of 571, 83184 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 571, 83184?
Answer: HCF of 571, 83184 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 571, 83184 using Euclid's Algorithm?
Answer: For arbitrary numbers 571, 83184 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.