Highest Common Factor of 6086, 8329 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 6086, 8329 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6086, 8329 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 6086, 8329 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 6086, 8329 is 1.
HCF(6086, 8329) = 1
HCF of 6086, 8329 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6086, 8329 is 1.
Highest Common Factor of 6086,8329 is 1
Step 1: Since 8329 > 6086, we apply the division lemma to 8329 and 6086, to get
8329 = 6086 x 1 + 2243
Step 2: Since the reminder 6086 ≠ 0, we apply division lemma to 2243 and 6086, to get
6086 = 2243 x 2 + 1600
Step 3: We consider the new divisor 2243 and the new remainder 1600, and apply the division lemma to get
2243 = 1600 x 1 + 643
We consider the new divisor 1600 and the new remainder 643,and apply the division lemma to get
1600 = 643 x 2 + 314
We consider the new divisor 643 and the new remainder 314,and apply the division lemma to get
643 = 314 x 2 + 15
We consider the new divisor 314 and the new remainder 15,and apply the division lemma to get
314 = 15 x 20 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6086 and 8329 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(314,15) = HCF(643,314) = HCF(1600,643) = HCF(2243,1600) = HCF(6086,2243) = HCF(8329,6086) .
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Frequently Asked Questions on HCF of 6086, 8329 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 6086, 8329?
Answer: HCF of 6086, 8329 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6086, 8329 using Euclid's Algorithm?
Answer: For arbitrary numbers 6086, 8329 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
