Highest Common Factor of 579, 660, 583 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 579, 660, 583 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 660, 583 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 579, 660, 583 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 579, 660, 583 is 1.
HCF(579, 660, 583) = 1
HCF of 579, 660, 583 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 579, 660, 583 is 1.
Highest Common Factor of 579,660,583 is 1
Step 1: Since 660 > 579, we apply the division lemma to 660 and 579, to get
660 = 579 x 1 + 81
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 81 and 579, to get
579 = 81 x 7 + 12
Step 3: We consider the new divisor 81 and the new remainder 12, and apply the division lemma to get
81 = 12 x 6 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 579 and 660 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(81,12) = HCF(579,81) = HCF(660,579) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 583 > 3, we apply the division lemma to 583 and 3, to get
583 = 3 x 194 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 583 is 1
Notice that 1 = HCF(3,1) = HCF(583,3) .
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Frequently Asked Questions on HCF of 579, 660, 583 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 579, 660, 583?
Answer: HCF of 579, 660, 583 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 660, 583 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 660, 583 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.