Highest Common Factor of 9081, 6644 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 9081, 6644 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9081, 6644 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 9081, 6644 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 9081, 6644 is 1.
HCF(9081, 6644) = 1
HCF of 9081, 6644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9081, 6644 is 1.
Highest Common Factor of 9081,6644 is 1
Step 1: Since 9081 > 6644, we apply the division lemma to 9081 and 6644, to get
9081 = 6644 x 1 + 2437
Step 2: Since the reminder 6644 ≠ 0, we apply division lemma to 2437 and 6644, to get
6644 = 2437 x 2 + 1770
Step 3: We consider the new divisor 2437 and the new remainder 1770, and apply the division lemma to get
2437 = 1770 x 1 + 667
We consider the new divisor 1770 and the new remainder 667,and apply the division lemma to get
1770 = 667 x 2 + 436
We consider the new divisor 667 and the new remainder 436,and apply the division lemma to get
667 = 436 x 1 + 231
We consider the new divisor 436 and the new remainder 231,and apply the division lemma to get
436 = 231 x 1 + 205
We consider the new divisor 231 and the new remainder 205,and apply the division lemma to get
231 = 205 x 1 + 26
We consider the new divisor 205 and the new remainder 26,and apply the division lemma to get
205 = 26 x 7 + 23
We consider the new divisor 26 and the new remainder 23,and apply the division lemma to get
26 = 23 x 1 + 3
We consider the new divisor 23 and the new remainder 3,and apply the division lemma to get
23 = 3 x 7 + 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 9081 and 6644 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(23,3) = HCF(26,23) = HCF(205,26) = HCF(231,205) = HCF(436,231) = HCF(667,436) = HCF(1770,667) = HCF(2437,1770) = HCF(6644,2437) = HCF(9081,6644) .
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Frequently Asked Questions on HCF of 9081, 6644 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 9081, 6644?
Answer: HCF of 9081, 6644 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9081, 6644 using Euclid's Algorithm?
Answer: For arbitrary numbers 9081, 6644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.