Highest Common Factor of 9217, 6568 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 9217, 6568 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9217, 6568 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 9217, 6568 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 9217, 6568 is 1.
HCF(9217, 6568) = 1
HCF of 9217, 6568 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9217, 6568 is 1.
Highest Common Factor of 9217,6568 is 1
Step 1: Since 9217 > 6568, we apply the division lemma to 9217 and 6568, to get
9217 = 6568 x 1 + 2649
Step 2: Since the reminder 6568 ≠ 0, we apply division lemma to 2649 and 6568, to get
6568 = 2649 x 2 + 1270
Step 3: We consider the new divisor 2649 and the new remainder 1270, and apply the division lemma to get
2649 = 1270 x 2 + 109
We consider the new divisor 1270 and the new remainder 109,and apply the division lemma to get
1270 = 109 x 11 + 71
We consider the new divisor 109 and the new remainder 71,and apply the division lemma to get
109 = 71 x 1 + 38
We consider the new divisor 71 and the new remainder 38,and apply the division lemma to get
71 = 38 x 1 + 33
We consider the new divisor 38 and the new remainder 33,and apply the division lemma to get
38 = 33 x 1 + 5
We consider the new divisor 33 and the new remainder 5,and apply the division lemma to get
33 = 5 x 6 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 9217 and 6568 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(33,5) = HCF(38,33) = HCF(71,38) = HCF(109,71) = HCF(1270,109) = HCF(2649,1270) = HCF(6568,2649) = HCF(9217,6568) .
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Frequently Asked Questions on HCF of 9217, 6568 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 9217, 6568?
Answer: HCF of 9217, 6568 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9217, 6568 using Euclid's Algorithm?
Answer: For arbitrary numbers 9217, 6568 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
