Highest Common Factor of 9987, 4587 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 9987, 4587 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9987, 4587 is 3 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 9987, 4587 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 9987, 4587 is 3.
HCF(9987, 4587) = 3
HCF of 9987, 4587 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9987, 4587 is 3.
Highest Common Factor of 9987,4587 is 3
Step 1: Since 9987 > 4587, we apply the division lemma to 9987 and 4587, to get
9987 = 4587 x 2 + 813
Step 2: Since the reminder 4587 ≠ 0, we apply division lemma to 813 and 4587, to get
4587 = 813 x 5 + 522
Step 3: We consider the new divisor 813 and the new remainder 522, and apply the division lemma to get
813 = 522 x 1 + 291
We consider the new divisor 522 and the new remainder 291,and apply the division lemma to get
522 = 291 x 1 + 231
We consider the new divisor 291 and the new remainder 231,and apply the division lemma to get
291 = 231 x 1 + 60
We consider the new divisor 231 and the new remainder 60,and apply the division lemma to get
231 = 60 x 3 + 51
We consider the new divisor 60 and the new remainder 51,and apply the division lemma to get
60 = 51 x 1 + 9
We consider the new divisor 51 and the new remainder 9,and apply the division lemma to get
51 = 9 x 5 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9987 and 4587 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(51,9) = HCF(60,51) = HCF(231,60) = HCF(291,231) = HCF(522,291) = HCF(813,522) = HCF(4587,813) = HCF(9987,4587) .
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Frequently Asked Questions on HCF of 9987, 4587 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 9987, 4587?
Answer: HCF of 9987, 4587 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9987, 4587 using Euclid's Algorithm?
Answer: For arbitrary numbers 9987, 4587 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
