Highest Common Factor of 9287, 3387 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 9287, 3387 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9287, 3387 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 9287, 3387 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 9287, 3387 is 1.
HCF(9287, 3387) = 1
HCF of 9287, 3387 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9287, 3387 is 1.
Highest Common Factor of 9287,3387 is 1
Step 1: Since 9287 > 3387, we apply the division lemma to 9287 and 3387, to get
9287 = 3387 x 2 + 2513
Step 2: Since the reminder 3387 ≠ 0, we apply division lemma to 2513 and 3387, to get
3387 = 2513 x 1 + 874
Step 3: We consider the new divisor 2513 and the new remainder 874, and apply the division lemma to get
2513 = 874 x 2 + 765
We consider the new divisor 874 and the new remainder 765,and apply the division lemma to get
874 = 765 x 1 + 109
We consider the new divisor 765 and the new remainder 109,and apply the division lemma to get
765 = 109 x 7 + 2
We consider the new divisor 109 and the new remainder 2,and apply the division lemma to get
109 = 2 x 54 + 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 9287 and 3387 is 1
Notice that 1 = HCF(2,1) = HCF(109,2) = HCF(765,109) = HCF(874,765) = HCF(2513,874) = HCF(3387,2513) = HCF(9287,3387) .
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Frequently Asked Questions on HCF of 9287, 3387 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 9287, 3387?
Answer: HCF of 9287, 3387 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9287, 3387 using Euclid's Algorithm?
Answer: For arbitrary numbers 9287, 3387 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.