Highest Common Factor of 9831, 2301 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 9831, 2301 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 9831, 2301 is 3 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 9831, 2301 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 9831, 2301 is 3.
HCF(9831, 2301) = 3
HCF of 9831, 2301 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 9831, 2301 is 3.
Highest Common Factor of 9831,2301 is 3
Step 1: Since 9831 > 2301, we apply the division lemma to 9831 and 2301, to get
9831 = 2301 x 4 + 627
Step 2: Since the reminder 2301 ≠ 0, we apply division lemma to 627 and 2301, to get
2301 = 627 x 3 + 420
Step 3: We consider the new divisor 627 and the new remainder 420, and apply the division lemma to get
627 = 420 x 1 + 207
We consider the new divisor 420 and the new remainder 207,and apply the division lemma to get
420 = 207 x 2 + 6
We consider the new divisor 207 and the new remainder 6,and apply the division lemma to get
207 = 6 x 34 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 9831 and 2301 is 3
Notice that 3 = HCF(6,3) = HCF(207,6) = HCF(420,207) = HCF(627,420) = HCF(2301,627) = HCF(9831,2301) .
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Frequently Asked Questions on HCF of 9831, 2301 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 9831, 2301?
Answer: HCF of 9831, 2301 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 9831, 2301 using Euclid's Algorithm?
Answer: For arbitrary numbers 9831, 2301 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.