Highest Common Factor of 8086, 4389 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 8086, 4389 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8086, 4389 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 8086, 4389 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 8086, 4389 is 1.
HCF(8086, 4389) = 1
HCF of 8086, 4389 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8086, 4389 is 1.
Highest Common Factor of 8086,4389 is 1
Step 1: Since 8086 > 4389, we apply the division lemma to 8086 and 4389, to get
8086 = 4389 x 1 + 3697
Step 2: Since the reminder 4389 ≠ 0, we apply division lemma to 3697 and 4389, to get
4389 = 3697 x 1 + 692
Step 3: We consider the new divisor 3697 and the new remainder 692, and apply the division lemma to get
3697 = 692 x 5 + 237
We consider the new divisor 692 and the new remainder 237,and apply the division lemma to get
692 = 237 x 2 + 218
We consider the new divisor 237 and the new remainder 218,and apply the division lemma to get
237 = 218 x 1 + 19
We consider the new divisor 218 and the new remainder 19,and apply the division lemma to get
218 = 19 x 11 + 9
We consider the new divisor 19 and the new remainder 9,and apply the division lemma to get
19 = 9 x 2 + 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 8086 and 4389 is 1
Notice that 1 = HCF(9,1) = HCF(19,9) = HCF(218,19) = HCF(237,218) = HCF(692,237) = HCF(3697,692) = HCF(4389,3697) = HCF(8086,4389) .
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Frequently Asked Questions on HCF of 8086, 4389 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 8086, 4389?
Answer: HCF of 8086, 4389 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8086, 4389 using Euclid's Algorithm?
Answer: For arbitrary numbers 8086, 4389 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.