Highest Common Factor of 811, 4389, 6293 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 811, 4389, 6293 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 4389, 6293 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 811, 4389, 6293 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 811, 4389, 6293 is 1.
HCF(811, 4389, 6293) = 1
HCF of 811, 4389, 6293 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 4389, 6293 is 1.
Highest Common Factor of 811,4389,6293 is 1
Step 1: Since 4389 > 811, we apply the division lemma to 4389 and 811, to get
4389 = 811 x 5 + 334
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 334 and 811, to get
811 = 334 x 2 + 143
Step 3: We consider the new divisor 334 and the new remainder 143, and apply the division lemma to get
334 = 143 x 2 + 48
We consider the new divisor 143 and the new remainder 48,and apply the division lemma to get
143 = 48 x 2 + 47
We consider the new divisor 48 and the new remainder 47,and apply the division lemma to get
48 = 47 x 1 + 1
We consider the new divisor 47 and the new remainder 1,and apply the division lemma to get
47 = 1 x 47 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 4389 is 1
Notice that 1 = HCF(47,1) = HCF(48,47) = HCF(143,48) = HCF(334,143) = HCF(811,334) = HCF(4389,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6293 > 1, we apply the division lemma to 6293 and 1, to get
6293 = 1 x 6293 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6293 is 1
Notice that 1 = HCF(6293,1) .
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Frequently Asked Questions on HCF of 811, 4389, 6293 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 811, 4389, 6293?
Answer: HCF of 811, 4389, 6293 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 4389, 6293 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 4389, 6293 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.