Highest Common Factor of 389, 9158, 2811 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 389, 9158, 2811 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 389, 9158, 2811 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 389, 9158, 2811 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 389, 9158, 2811 is 1.
HCF(389, 9158, 2811) = 1
HCF of 389, 9158, 2811 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 389, 9158, 2811 is 1.
Highest Common Factor of 389,9158,2811 is 1
Step 1: Since 9158 > 389, we apply the division lemma to 9158 and 389, to get
9158 = 389 x 23 + 211
Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 211 and 389, to get
389 = 211 x 1 + 178
Step 3: We consider the new divisor 211 and the new remainder 178, and apply the division lemma to get
211 = 178 x 1 + 33
We consider the new divisor 178 and the new remainder 33,and apply the division lemma to get
178 = 33 x 5 + 13
We consider the new divisor 33 and the new remainder 13,and apply the division lemma to get
33 = 13 x 2 + 7
We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get
13 = 7 x 1 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 389 and 9158 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(33,13) = HCF(178,33) = HCF(211,178) = HCF(389,211) = HCF(9158,389) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 2811 > 1, we apply the division lemma to 2811 and 1, to get
2811 = 1 x 2811 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 2811 is 1
Notice that 1 = HCF(2811,1) .
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Frequently Asked Questions on HCF of 389, 9158, 2811 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 389, 9158, 2811?
Answer: HCF of 389, 9158, 2811 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 389, 9158, 2811 using Euclid's Algorithm?
Answer: For arbitrary numbers 389, 9158, 2811 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.