Highest Common Factor of 1587, 8566 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 1587, 8566 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1587, 8566 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 1587, 8566 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 1587, 8566 is 1.
HCF(1587, 8566) = 1
HCF of 1587, 8566 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1587, 8566 is 1.
Highest Common Factor of 1587,8566 is 1
Step 1: Since 8566 > 1587, we apply the division lemma to 8566 and 1587, to get
8566 = 1587 x 5 + 631
Step 2: Since the reminder 1587 ≠ 0, we apply division lemma to 631 and 1587, to get
1587 = 631 x 2 + 325
Step 3: We consider the new divisor 631 and the new remainder 325, and apply the division lemma to get
631 = 325 x 1 + 306
We consider the new divisor 325 and the new remainder 306,and apply the division lemma to get
325 = 306 x 1 + 19
We consider the new divisor 306 and the new remainder 19,and apply the division lemma to get
306 = 19 x 16 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1587 and 8566 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(306,19) = HCF(325,306) = HCF(631,325) = HCF(1587,631) = HCF(8566,1587) .
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Frequently Asked Questions on HCF of 1587, 8566 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 1587, 8566?
Answer: HCF of 1587, 8566 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1587, 8566 using Euclid's Algorithm?
Answer: For arbitrary numbers 1587, 8566 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.