Highest Common Factor of 8601, 7466 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 8601, 7466 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8601, 7466 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 8601, 7466 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 8601, 7466 is 1.
HCF(8601, 7466) = 1
HCF of 8601, 7466 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8601, 7466 is 1.
Highest Common Factor of 8601,7466 is 1
Step 1: Since 8601 > 7466, we apply the division lemma to 8601 and 7466, to get
8601 = 7466 x 1 + 1135
Step 2: Since the reminder 7466 ≠ 0, we apply division lemma to 1135 and 7466, to get
7466 = 1135 x 6 + 656
Step 3: We consider the new divisor 1135 and the new remainder 656, and apply the division lemma to get
1135 = 656 x 1 + 479
We consider the new divisor 656 and the new remainder 479,and apply the division lemma to get
656 = 479 x 1 + 177
We consider the new divisor 479 and the new remainder 177,and apply the division lemma to get
479 = 177 x 2 + 125
We consider the new divisor 177 and the new remainder 125,and apply the division lemma to get
177 = 125 x 1 + 52
We consider the new divisor 125 and the new remainder 52,and apply the division lemma to get
125 = 52 x 2 + 21
We consider the new divisor 52 and the new remainder 21,and apply the division lemma to get
52 = 21 x 2 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8601 and 7466 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(52,21) = HCF(125,52) = HCF(177,125) = HCF(479,177) = HCF(656,479) = HCF(1135,656) = HCF(7466,1135) = HCF(8601,7466) .
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Frequently Asked Questions on HCF of 8601, 7466 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 8601, 7466?
Answer: HCF of 8601, 7466 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8601, 7466 using Euclid's Algorithm?
Answer: For arbitrary numbers 8601, 7466 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
