Highest Common Factor of 9389, 4114 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 9389, 4114 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 9389, 4114 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 9389, 4114 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 9389, 4114 is 1.
HCF(9389, 4114) = 1
HCF of 9389, 4114 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9389, 4114 is 1.
Highest Common Factor of 9389,4114 is 1
Step 1: Since 9389 > 4114, we apply the division lemma to 9389 and 4114, to get
9389 = 4114 x 2 + 1161
Step 2: Since the reminder 4114 ≠ 0, we apply division lemma to 1161 and 4114, to get
4114 = 1161 x 3 + 631
Step 3: We consider the new divisor 1161 and the new remainder 631, and apply the division lemma to get
1161 = 631 x 1 + 530
We consider the new divisor 631 and the new remainder 530,and apply the division lemma to get
631 = 530 x 1 + 101
We consider the new divisor 530 and the new remainder 101,and apply the division lemma to get
530 = 101 x 5 + 25
We consider the new divisor 101 and the new remainder 25,and apply the division lemma to get
101 = 25 x 4 + 1
We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get
25 = 1 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 9389 and 4114 is 1
Notice that 1 = HCF(25,1) = HCF(101,25) = HCF(530,101) = HCF(631,530) = HCF(1161,631) = HCF(4114,1161) = HCF(9389,4114) .
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Frequently Asked Questions on HCF of 9389, 4114 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 9389, 4114?
Answer: HCF of 9389, 4114 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9389, 4114 using Euclid's Algorithm?
Answer: For arbitrary numbers 9389, 4114 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
