Highest Common Factor of 8066, 8514 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 8066, 8514 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8066, 8514 is 2 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 8066, 8514 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 8066, 8514 is 2.
HCF(8066, 8514) = 2
HCF of 8066, 8514 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8066, 8514 is 2.
Highest Common Factor of 8066,8514 is 2
Step 1: Since 8514 > 8066, we apply the division lemma to 8514 and 8066, to get
8514 = 8066 x 1 + 448
Step 2: Since the reminder 8066 ≠ 0, we apply division lemma to 448 and 8066, to get
8066 = 448 x 18 + 2
Step 3: We consider the new divisor 448 and the new remainder 2, and apply the division lemma to get
448 = 2 x 224 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8066 and 8514 is 2
Notice that 2 = HCF(448,2) = HCF(8066,448) = HCF(8514,8066) .
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Frequently Asked Questions on HCF of 8066, 8514 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 8066, 8514?
Answer: HCF of 8066, 8514 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8066, 8514 using Euclid's Algorithm?
Answer: For arbitrary numbers 8066, 8514 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.