Highest Common Factor of 566, 9463 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 566, 9463 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 566, 9463 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 566, 9463 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 566, 9463 is 1.
HCF(566, 9463) = 1
HCF of 566, 9463 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 566, 9463 is 1.
Highest Common Factor of 566,9463 is 1
Step 1: Since 9463 > 566, we apply the division lemma to 9463 and 566, to get
9463 = 566 x 16 + 407
Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 407 and 566, to get
566 = 407 x 1 + 159
Step 3: We consider the new divisor 407 and the new remainder 159, and apply the division lemma to get
407 = 159 x 2 + 89
We consider the new divisor 159 and the new remainder 89,and apply the division lemma to get
159 = 89 x 1 + 70
We consider the new divisor 89 and the new remainder 70,and apply the division lemma to get
89 = 70 x 1 + 19
We consider the new divisor 70 and the new remainder 19,and apply the division lemma to get
70 = 19 x 3 + 13
We consider the new divisor 19 and the new remainder 13,and apply the division lemma to get
19 = 13 x 1 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 566 and 9463 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(19,13) = HCF(70,19) = HCF(89,70) = HCF(159,89) = HCF(407,159) = HCF(566,407) = HCF(9463,566) .
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Frequently Asked Questions on HCF of 566, 9463 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 566, 9463?
Answer: HCF of 566, 9463 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 566, 9463 using Euclid's Algorithm?
Answer: For arbitrary numbers 566, 9463 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
