Highest Common Factor of 6864, 3923 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 6864, 3923 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6864, 3923 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 6864, 3923 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 6864, 3923 is 1.
HCF(6864, 3923) = 1
HCF of 6864, 3923 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6864, 3923 is 1.
Highest Common Factor of 6864,3923 is 1
Step 1: Since 6864 > 3923, we apply the division lemma to 6864 and 3923, to get
6864 = 3923 x 1 + 2941
Step 2: Since the reminder 3923 ≠ 0, we apply division lemma to 2941 and 3923, to get
3923 = 2941 x 1 + 982
Step 3: We consider the new divisor 2941 and the new remainder 982, and apply the division lemma to get
2941 = 982 x 2 + 977
We consider the new divisor 982 and the new remainder 977,and apply the division lemma to get
982 = 977 x 1 + 5
We consider the new divisor 977 and the new remainder 5,and apply the division lemma to get
977 = 5 x 195 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6864 and 3923 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(977,5) = HCF(982,977) = HCF(2941,982) = HCF(3923,2941) = HCF(6864,3923) .
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Frequently Asked Questions on HCF of 6864, 3923 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 6864, 3923?
Answer: HCF of 6864, 3923 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6864, 3923 using Euclid's Algorithm?
Answer: For arbitrary numbers 6864, 3923 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
