Highest Common Factor of 579, 3865 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, 3865 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 579, 3865 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, 3865 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, 3865 is 1.
HCF(579, 3865) = 1
HCF of 579, 3865 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, 3865 is 1.
Highest Common Factor of 579,3865 is 1
Step 1: Since 3865 > 579, we apply the division lemma to 3865 and 579, to get
3865 = 579 x 6 + 391
Step 2: Since the reminder 579 ≠ 0, we apply division lemma to 391 and 579, to get
579 = 391 x 1 + 188
Step 3: We consider the new divisor 391 and the new remainder 188, and apply the division lemma to get
391 = 188 x 2 + 15
We consider the new divisor 188 and the new remainder 15,and apply the division lemma to get
188 = 15 x 12 + 8
We consider the new divisor 15 and the new remainder 8,and apply the division lemma to get
15 = 8 x 1 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 579 and 3865 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(15,8) = HCF(188,15) = HCF(391,188) = HCF(579,391) = HCF(3865,579) .
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Frequently Asked Questions on HCF of 579, 3865 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, 3865?
Answer: HCF of 579, 3865 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 579, 3865 using Euclid's Algorithm?
Answer: For arbitrary numbers 579, 3865 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.