Highest Common Factor of 581, 830, 609 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, 830, 609 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 581, 830, 609 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, 830, 609 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, 830, 609 is 1.
HCF(581, 830, 609) = 1
HCF of 581, 830, 609 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, 830, 609 is 1.
Highest Common Factor of 581,830,609 is 1
Step 1: Since 830 > 581, we apply the division lemma to 830 and 581, to get
830 = 581 x 1 + 249
Step 2: Since the reminder 581 ≠ 0, we apply division lemma to 249 and 581, to get
581 = 249 x 2 + 83
Step 3: We consider the new divisor 249 and the new remainder 83, and apply the division lemma to get
249 = 83 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 83, the HCF of 581 and 830 is 83
Notice that 83 = HCF(249,83) = HCF(581,249) = HCF(830,581) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 609 > 83, we apply the division lemma to 609 and 83, to get
609 = 83 x 7 + 28
Step 2: Since the reminder 83 ≠ 0, we apply division lemma to 28 and 83, to get
83 = 28 x 2 + 27
Step 3: We consider the new divisor 28 and the new remainder 27, and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1, and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 83 and 609 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(83,28) = HCF(609,83) .
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Frequently Asked Questions on HCF of 581, 830, 609 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, 830, 609?
Answer: HCF of 581, 830, 609 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 581, 830, 609 using Euclid's Algorithm?
Answer: For arbitrary numbers 581, 830, 609 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
