Highest Common Factor of 6345, 3823 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 6345, 3823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6345, 3823 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 6345, 3823 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 6345, 3823 is 1.
HCF(6345, 3823) = 1
HCF of 6345, 3823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6345, 3823 is 1.
Highest Common Factor of 6345,3823 is 1
Step 1: Since 6345 > 3823, we apply the division lemma to 6345 and 3823, to get
6345 = 3823 x 1 + 2522
Step 2: Since the reminder 3823 ≠ 0, we apply division lemma to 2522 and 3823, to get
3823 = 2522 x 1 + 1301
Step 3: We consider the new divisor 2522 and the new remainder 1301, and apply the division lemma to get
2522 = 1301 x 1 + 1221
We consider the new divisor 1301 and the new remainder 1221,and apply the division lemma to get
1301 = 1221 x 1 + 80
We consider the new divisor 1221 and the new remainder 80,and apply the division lemma to get
1221 = 80 x 15 + 21
We consider the new divisor 80 and the new remainder 21,and apply the division lemma to get
80 = 21 x 3 + 17
We consider the new divisor 21 and the new remainder 17,and apply the division lemma to get
21 = 17 x 1 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6345 and 3823 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(21,17) = HCF(80,21) = HCF(1221,80) = HCF(1301,1221) = HCF(2522,1301) = HCF(3823,2522) = HCF(6345,3823) .
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Frequently Asked Questions on HCF of 6345, 3823 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 6345, 3823?
Answer: HCF of 6345, 3823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6345, 3823 using Euclid's Algorithm?
Answer: For arbitrary numbers 6345, 3823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
