Highest Common Factor of 493, 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 493, 581 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 493, 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 493, 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 493, 581 is 1.
HCF(493, 581) = 1
HCF of 493, 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 493, 581 is 1.
Highest Common Factor of 493,581 is 1
Step 1: Since 581 > 493, we apply the division lemma to 581 and 493, to get
581 = 493 x 1 + 88
Step 2: Since the reminder 493 ≠ 0, we apply division lemma to 88 and 493, to get
493 = 88 x 5 + 53
Step 3: We consider the new divisor 88 and the new remainder 53, and apply the division lemma to get
88 = 53 x 1 + 35
We consider the new divisor 53 and the new remainder 35,and apply the division lemma to get
53 = 35 x 1 + 18
We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get
35 = 18 x 1 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 493 and 581 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(53,35) = HCF(88,53) = HCF(493,88) = HCF(581,493) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 493, 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 493, 581?
Answer: HCF of 493, 581 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 493, 581 using Euclid's Algorithm?
Answer: For arbitrary numbers 493, 581 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.