Highest Common Factor of 6543, 3803, 69161 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 6543, 3803, 69161 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6543, 3803, 69161 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 6543, 3803, 69161 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 6543, 3803, 69161 is 1.
HCF(6543, 3803, 69161) = 1
HCF of 6543, 3803, 69161 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6543, 3803, 69161 is 1.
Highest Common Factor of 6543,3803,69161 is 1
Step 1: Since 6543 > 3803, we apply the division lemma to 6543 and 3803, to get
6543 = 3803 x 1 + 2740
Step 2: Since the reminder 3803 ≠ 0, we apply division lemma to 2740 and 3803, to get
3803 = 2740 x 1 + 1063
Step 3: We consider the new divisor 2740 and the new remainder 1063, and apply the division lemma to get
2740 = 1063 x 2 + 614
We consider the new divisor 1063 and the new remainder 614,and apply the division lemma to get
1063 = 614 x 1 + 449
We consider the new divisor 614 and the new remainder 449,and apply the division lemma to get
614 = 449 x 1 + 165
We consider the new divisor 449 and the new remainder 165,and apply the division lemma to get
449 = 165 x 2 + 119
We consider the new divisor 165 and the new remainder 119,and apply the division lemma to get
165 = 119 x 1 + 46
We consider the new divisor 119 and the new remainder 46,and apply the division lemma to get
119 = 46 x 2 + 27
We consider the new divisor 46 and the new remainder 27,and apply the division lemma to get
46 = 27 x 1 + 19
We consider the new divisor 27 and the new remainder 19,and apply the division lemma to get
27 = 19 x 1 + 8
We consider the new divisor 19 and the new remainder 8,and apply the division lemma to get
19 = 8 x 2 + 3
We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get
8 = 3 x 2 + 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 6543 and 3803 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(19,8) = HCF(27,19) = HCF(46,27) = HCF(119,46) = HCF(165,119) = HCF(449,165) = HCF(614,449) = HCF(1063,614) = HCF(2740,1063) = HCF(3803,2740) = HCF(6543,3803) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69161 > 1, we apply the division lemma to 69161 and 1, to get
69161 = 1 x 69161 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69161 is 1
Notice that 1 = HCF(69161,1) .
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Frequently Asked Questions on HCF of 6543, 3803, 69161 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 6543, 3803, 69161?
Answer: HCF of 6543, 3803, 69161 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6543, 3803, 69161 using Euclid's Algorithm?
Answer: For arbitrary numbers 6543, 3803, 69161 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.