Highest Common Factor of 463, 585, 591 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 463, 585, 591 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 463, 585, 591 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 463, 585, 591 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 463, 585, 591 is 1.
HCF(463, 585, 591) = 1
HCF of 463, 585, 591 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 463, 585, 591 is 1.
Highest Common Factor of 463,585,591 is 1
Step 1: Since 585 > 463, we apply the division lemma to 585 and 463, to get
585 = 463 x 1 + 122
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 122 and 463, to get
463 = 122 x 3 + 97
Step 3: We consider the new divisor 122 and the new remainder 97, and apply the division lemma to get
122 = 97 x 1 + 25
We consider the new divisor 97 and the new remainder 25,and apply the division lemma to get
97 = 25 x 3 + 22
We consider the new divisor 25 and the new remainder 22,and apply the division lemma to get
25 = 22 x 1 + 3
We consider the new divisor 22 and the new remainder 3,and apply the division lemma to get
22 = 3 x 7 + 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 463 and 585 is 1
Notice that 1 = HCF(3,1) = HCF(22,3) = HCF(25,22) = HCF(97,25) = HCF(122,97) = HCF(463,122) = HCF(585,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 591 > 1, we apply the division lemma to 591 and 1, to get
591 = 1 x 591 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 591 is 1
Notice that 1 = HCF(591,1) .
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Frequently Asked Questions on HCF of 463, 585, 591 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 463, 585, 591?
Answer: HCF of 463, 585, 591 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 463, 585, 591 using Euclid's Algorithm?
Answer: For arbitrary numbers 463, 585, 591 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.