Highest Common Factor of 6389, 8357 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 6389, 8357 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6389, 8357 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 6389, 8357 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 6389, 8357 is 1.
HCF(6389, 8357) = 1
HCF of 6389, 8357 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6389, 8357 is 1.
Highest Common Factor of 6389,8357 is 1
Step 1: Since 8357 > 6389, we apply the division lemma to 8357 and 6389, to get
8357 = 6389 x 1 + 1968
Step 2: Since the reminder 6389 ≠ 0, we apply division lemma to 1968 and 6389, to get
6389 = 1968 x 3 + 485
Step 3: We consider the new divisor 1968 and the new remainder 485, and apply the division lemma to get
1968 = 485 x 4 + 28
We consider the new divisor 485 and the new remainder 28,and apply the division lemma to get
485 = 28 x 17 + 9
We consider the new divisor 28 and the new remainder 9,and apply the division lemma to get
28 = 9 x 3 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6389 and 8357 is 1
Notice that 1 = HCF(9,1) = HCF(28,9) = HCF(485,28) = HCF(1968,485) = HCF(6389,1968) = HCF(8357,6389) .
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Frequently Asked Questions on HCF of 6389, 8357 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 6389, 8357?
Answer: HCF of 6389, 8357 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6389, 8357 using Euclid's Algorithm?
Answer: For arbitrary numbers 6389, 8357 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.