Highest Common Factor of 8010, 8466 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 8010, 8466 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 8010, 8466 is 6 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 8010, 8466 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 8010, 8466 is 6.
HCF(8010, 8466) = 6
HCF of 8010, 8466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8010, 8466 is 6.
Highest Common Factor of 8010,8466 is 6
Step 1: Since 8466 > 8010, we apply the division lemma to 8466 and 8010, to get
8466 = 8010 x 1 + 456
Step 2: Since the reminder 8010 ≠ 0, we apply division lemma to 456 and 8010, to get
8010 = 456 x 17 + 258
Step 3: We consider the new divisor 456 and the new remainder 258, and apply the division lemma to get
456 = 258 x 1 + 198
We consider the new divisor 258 and the new remainder 198,and apply the division lemma to get
258 = 198 x 1 + 60
We consider the new divisor 198 and the new remainder 60,and apply the division lemma to get
198 = 60 x 3 + 18
We consider the new divisor 60 and the new remainder 18,and apply the division lemma to get
60 = 18 x 3 + 6
We consider the new divisor 18 and the new remainder 6,and apply the division lemma to get
18 = 6 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 8010 and 8466 is 6
Notice that 6 = HCF(18,6) = HCF(60,18) = HCF(198,60) = HCF(258,198) = HCF(456,258) = HCF(8010,456) = HCF(8466,8010) .
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Frequently Asked Questions on HCF of 8010, 8466 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 8010, 8466?
Answer: HCF of 8010, 8466 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8010, 8466 using Euclid's Algorithm?
Answer: For arbitrary numbers 8010, 8466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.