Highest Common Factor of 589, 461 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 589, 461 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 589, 461 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 589, 461 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 589, 461 is 1.
HCF(589, 461) = 1
HCF of 589, 461 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 589, 461 is 1.
Highest Common Factor of 589,461 is 1
Step 1: Since 589 > 461, we apply the division lemma to 589 and 461, to get
589 = 461 x 1 + 128
Step 2: Since the reminder 461 ≠ 0, we apply division lemma to 128 and 461, to get
461 = 128 x 3 + 77
Step 3: We consider the new divisor 128 and the new remainder 77, and apply the division lemma to get
128 = 77 x 1 + 51
We consider the new divisor 77 and the new remainder 51,and apply the division lemma to get
77 = 51 x 1 + 26
We consider the new divisor 51 and the new remainder 26,and apply the division lemma to get
51 = 26 x 1 + 25
We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get
26 = 25 x 1 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 589 and 461 is 1
Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(51,26) = HCF(77,51) = HCF(128,77) = HCF(461,128) = HCF(589,461) .
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Frequently Asked Questions on HCF of 589, 461 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 589, 461?
Answer: HCF of 589, 461 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 589, 461 using Euclid's Algorithm?
Answer: For arbitrary numbers 589, 461 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
