Highest Common Factor of 581, 8462, 4695 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 581, 8462, 4695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 8462, 4695 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 581, 8462, 4695 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 581, 8462, 4695 is 1.
HCF(581, 8462, 4695) = 1
HCF of 581, 8462, 4695 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 581, 8462, 4695 is 1.
Highest Common Factor of 581,8462,4695 is 1
Step 1: Since 8462 > 581, we apply the division lemma to 8462 and 581, to get
8462 = 581 x 14 + 328
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 328 and 581, to get
581 = 328 x 1 + 253
Step 3: We consider the new divisor 328 and the new remainder 253, and apply the division lemma to get
328 = 253 x 1 + 75
We consider the new divisor 253 and the new remainder 75,and apply the division lemma to get
253 = 75 x 3 + 28
We consider the new divisor 75 and the new remainder 28,and apply the division lemma to get
75 = 28 x 2 + 19
We consider the new divisor 28 and the new remainder 19,and apply the division lemma to get
28 = 19 x 1 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 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 581 and 8462 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(28,19) = HCF(75,28) = HCF(253,75) = HCF(328,253) = HCF(581,328) = HCF(8462,581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 4695 > 1, we apply the division lemma to 4695 and 1, to get
4695 = 1 x 4695 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 4695 is 1
Notice that 1 = HCF(4695,1) .
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Frequently Asked Questions on HCF of 581, 8462, 4695 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 581, 8462, 4695?
Answer: HCF of 581, 8462, 4695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 8462, 4695 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 8462, 4695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
