Highest Common Factor of 389, 1771 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, 1771 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 389, 1771 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, 1771 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, 1771 is 1.
HCF(389, 1771) = 1
HCF of 389, 1771 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, 1771 is 1.
Highest Common Factor of 389,1771 is 1
Step 1: Since 1771 > 389, we apply the division lemma to 1771 and 389, to get
1771 = 389 x 4 + 215
Step 2: Since the reminder 389 ≠ 0, we apply division lemma to 215 and 389, to get
389 = 215 x 1 + 174
Step 3: We consider the new divisor 215 and the new remainder 174, and apply the division lemma to get
215 = 174 x 1 + 41
We consider the new divisor 174 and the new remainder 41,and apply the division lemma to get
174 = 41 x 4 + 10
We consider the new divisor 41 and the new remainder 10,and apply the division lemma to get
41 = 10 x 4 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 389 and 1771 is 1
Notice that 1 = HCF(10,1) = HCF(41,10) = HCF(174,41) = HCF(215,174) = HCF(389,215) = HCF(1771,389) .
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Frequently Asked Questions on HCF of 389, 1771 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, 1771?
Answer: HCF of 389, 1771 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 389, 1771 using Euclid's Algorithm?
Answer: For arbitrary numbers 389, 1771 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.