Highest Common Factor of 802, 581 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 802, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 802, 581 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 802, 581 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 802, 581 is 1.
HCF(802, 581) = 1
HCF of 802, 581 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 802, 581 is 1.
Highest Common Factor of 802,581 is 1
Step 1: Since 802 > 581, we apply the division lemma to 802 and 581, to get
802 = 581 x 1 + 221
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 221 and 581, to get
581 = 221 x 2 + 139
Step 3: We consider the new divisor 221 and the new remainder 139, and apply the division lemma to get
221 = 139 x 1 + 82
We consider the new divisor 139 and the new remainder 82,and apply the division lemma to get
139 = 82 x 1 + 57
We consider the new divisor 82 and the new remainder 57,and apply the division lemma to get
82 = 57 x 1 + 25
We consider the new divisor 57 and the new remainder 25,and apply the division lemma to get
57 = 25 x 2 + 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 802 and 581 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(25,7) = HCF(57,25) = HCF(82,57) = HCF(139,82) = HCF(221,139) = HCF(581,221) = HCF(802,581) .
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Frequently Asked Questions on HCF of 802, 581 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 802, 581?
Answer: HCF of 802, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 802, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 802, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.