Highest Common Factor of 8993, 9647, 17775 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 8993, 9647, 17775 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8993, 9647, 17775 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 8993, 9647, 17775 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 8993, 9647, 17775 is 1.
HCF(8993, 9647, 17775) = 1
HCF of 8993, 9647, 17775 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8993, 9647, 17775 is 1.
Highest Common Factor of 8993,9647,17775 is 1
Step 1: Since 9647 > 8993, we apply the division lemma to 9647 and 8993, to get
9647 = 8993 x 1 + 654
Step 2: Since the reminder 8993 ≠ 0, we apply division lemma to 654 and 8993, to get
8993 = 654 x 13 + 491
Step 3: We consider the new divisor 654 and the new remainder 491, and apply the division lemma to get
654 = 491 x 1 + 163
We consider the new divisor 491 and the new remainder 163,and apply the division lemma to get
491 = 163 x 3 + 2
We consider the new divisor 163 and the new remainder 2,and apply the division lemma to get
163 = 2 x 81 + 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 8993 and 9647 is 1
Notice that 1 = HCF(2,1) = HCF(163,2) = HCF(491,163) = HCF(654,491) = HCF(8993,654) = HCF(9647,8993) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17775 > 1, we apply the division lemma to 17775 and 1, to get
17775 = 1 x 17775 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17775 is 1
Notice that 1 = HCF(17775,1) .
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Frequently Asked Questions on HCF of 8993, 9647, 17775 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 8993, 9647, 17775?
Answer: HCF of 8993, 9647, 17775 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8993, 9647, 17775 using Euclid's Algorithm?
Answer: For arbitrary numbers 8993, 9647, 17775 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.