Highest Common Factor of 8633, 6561 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 8633, 6561 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8633, 6561 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 8633, 6561 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 8633, 6561 is 1.
HCF(8633, 6561) = 1
HCF of 8633, 6561 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8633, 6561 is 1.
Highest Common Factor of 8633,6561 is 1
Step 1: Since 8633 > 6561, we apply the division lemma to 8633 and 6561, to get
8633 = 6561 x 1 + 2072
Step 2: Since the reminder 6561 ≠ 0, we apply division lemma to 2072 and 6561, to get
6561 = 2072 x 3 + 345
Step 3: We consider the new divisor 2072 and the new remainder 345, and apply the division lemma to get
2072 = 345 x 6 + 2
We consider the new divisor 345 and the new remainder 2,and apply the division lemma to get
345 = 2 x 172 + 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 8633 and 6561 is 1
Notice that 1 = HCF(2,1) = HCF(345,2) = HCF(2072,345) = HCF(6561,2072) = HCF(8633,6561) .
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Frequently Asked Questions on HCF of 8633, 6561 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 8633, 6561?
Answer: HCF of 8633, 6561 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8633, 6561 using Euclid's Algorithm?
Answer: For arbitrary numbers 8633, 6561 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.