Highest Common Factor of 9543, 1681, 83007 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 9543, 1681, 83007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9543, 1681, 83007 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 9543, 1681, 83007 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 9543, 1681, 83007 is 1.
HCF(9543, 1681, 83007) = 1
HCF of 9543, 1681, 83007 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9543, 1681, 83007 is 1.
Highest Common Factor of 9543,1681,83007 is 1
Step 1: Since 9543 > 1681, we apply the division lemma to 9543 and 1681, to get
9543 = 1681 x 5 + 1138
Step 2: Since the reminder 1681 ≠ 0, we apply division lemma to 1138 and 1681, to get
1681 = 1138 x 1 + 543
Step 3: We consider the new divisor 1138 and the new remainder 543, and apply the division lemma to get
1138 = 543 x 2 + 52
We consider the new divisor 543 and the new remainder 52,and apply the division lemma to get
543 = 52 x 10 + 23
We consider the new divisor 52 and the new remainder 23,and apply the division lemma to get
52 = 23 x 2 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9543 and 1681 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(52,23) = HCF(543,52) = HCF(1138,543) = HCF(1681,1138) = HCF(9543,1681) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 83007 > 1, we apply the division lemma to 83007 and 1, to get
83007 = 1 x 83007 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 83007 is 1
Notice that 1 = HCF(83007,1) .
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Frequently Asked Questions on HCF of 9543, 1681, 83007 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 9543, 1681, 83007?
Answer: HCF of 9543, 1681, 83007 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9543, 1681, 83007 using Euclid's Algorithm?
Answer: For arbitrary numbers 9543, 1681, 83007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
