Highest Common Factor of 9466, 6381 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 9466, 6381 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9466, 6381 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 9466, 6381 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 9466, 6381 is 1.
HCF(9466, 6381) = 1
HCF of 9466, 6381 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9466, 6381 is 1.
Highest Common Factor of 9466,6381 is 1
Step 1: Since 9466 > 6381, we apply the division lemma to 9466 and 6381, to get
9466 = 6381 x 1 + 3085
Step 2: Since the reminder 6381 ≠ 0, we apply division lemma to 3085 and 6381, to get
6381 = 3085 x 2 + 211
Step 3: We consider the new divisor 3085 and the new remainder 211, and apply the division lemma to get
3085 = 211 x 14 + 131
We consider the new divisor 211 and the new remainder 131,and apply the division lemma to get
211 = 131 x 1 + 80
We consider the new divisor 131 and the new remainder 80,and apply the division lemma to get
131 = 80 x 1 + 51
We consider the new divisor 80 and the new remainder 51,and apply the division lemma to get
80 = 51 x 1 + 29
We consider the new divisor 51 and the new remainder 29,and apply the division lemma to get
51 = 29 x 1 + 22
We consider the new divisor 29 and the new remainder 22,and apply the division lemma to get
29 = 22 x 1 + 7
We consider the new divisor 22 and the new remainder 7,and apply the division lemma to get
22 = 7 x 3 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9466 and 6381 is 1
Notice that 1 = HCF(7,1) = HCF(22,7) = HCF(29,22) = HCF(51,29) = HCF(80,51) = HCF(131,80) = HCF(211,131) = HCF(3085,211) = HCF(6381,3085) = HCF(9466,6381) .
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Frequently Asked Questions on HCF of 9466, 6381 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 9466, 6381?
Answer: HCF of 9466, 6381 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9466, 6381 using Euclid's Algorithm?
Answer: For arbitrary numbers 9466, 6381 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.