Highest Common Factor of 5805, 2307 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 5805, 2307 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 5805, 2307 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 5805, 2307 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 5805, 2307 is 3.
HCF(5805, 2307) = 3
HCF of 5805, 2307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5805, 2307 is 3.
Highest Common Factor of 5805,2307 is 3
Step 1: Since 5805 > 2307, we apply the division lemma to 5805 and 2307, to get
5805 = 2307 x 2 + 1191
Step 2: Since the reminder 2307 ≠ 0, we apply division lemma to 1191 and 2307, to get
2307 = 1191 x 1 + 1116
Step 3: We consider the new divisor 1191 and the new remainder 1116, and apply the division lemma to get
1191 = 1116 x 1 + 75
We consider the new divisor 1116 and the new remainder 75,and apply the division lemma to get
1116 = 75 x 14 + 66
We consider the new divisor 75 and the new remainder 66,and apply the division lemma to get
75 = 66 x 1 + 9
We consider the new divisor 66 and the new remainder 9,and apply the division lemma to get
66 = 9 x 7 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 5805 and 2307 is 3
Notice that 3 = HCF(9,3) = HCF(66,9) = HCF(75,66) = HCF(1116,75) = HCF(1191,1116) = HCF(2307,1191) = HCF(5805,2307) .
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Frequently Asked Questions on HCF of 5805, 2307 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 5805, 2307?
Answer: HCF of 5805, 2307 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5805, 2307 using Euclid's Algorithm?
Answer: For arbitrary numbers 5805, 2307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.