Highest Common Factor of 5891, 6864 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 5891, 6864 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5891, 6864 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 5891, 6864 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 5891, 6864 is 1.
HCF(5891, 6864) = 1
HCF of 5891, 6864 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5891, 6864 is 1.
Highest Common Factor of 5891,6864 is 1
Step 1: Since 6864 > 5891, we apply the division lemma to 6864 and 5891, to get
6864 = 5891 x 1 + 973
Step 2: Since the reminder 5891 ≠ 0, we apply division lemma to 973 and 5891, to get
5891 = 973 x 6 + 53
Step 3: We consider the new divisor 973 and the new remainder 53, and apply the division lemma to get
973 = 53 x 18 + 19
We consider the new divisor 53 and the new remainder 19,and apply the division lemma to get
53 = 19 x 2 + 15
We consider the new divisor 19 and the new remainder 15,and apply the division lemma to get
19 = 15 x 1 + 4
We consider the new divisor 15 and the new remainder 4,and apply the division lemma to get
15 = 4 x 3 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5891 and 6864 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(15,4) = HCF(19,15) = HCF(53,19) = HCF(973,53) = HCF(5891,973) = HCF(6864,5891) .
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Frequently Asked Questions on HCF of 5891, 6864 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 5891, 6864?
Answer: HCF of 5891, 6864 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5891, 6864 using Euclid's Algorithm?
Answer: For arbitrary numbers 5891, 6864 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
