Highest Common Factor of 7301, 8586 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 7301, 8586 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7301, 8586 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 7301, 8586 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 7301, 8586 is 1.
HCF(7301, 8586) = 1
HCF of 7301, 8586 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7301, 8586 is 1.
Highest Common Factor of 7301,8586 is 1
Step 1: Since 8586 > 7301, we apply the division lemma to 8586 and 7301, to get
8586 = 7301 x 1 + 1285
Step 2: Since the reminder 7301 ≠ 0, we apply division lemma to 1285 and 7301, to get
7301 = 1285 x 5 + 876
Step 3: We consider the new divisor 1285 and the new remainder 876, and apply the division lemma to get
1285 = 876 x 1 + 409
We consider the new divisor 876 and the new remainder 409,and apply the division lemma to get
876 = 409 x 2 + 58
We consider the new divisor 409 and the new remainder 58,and apply the division lemma to get
409 = 58 x 7 + 3
We consider the new divisor 58 and the new remainder 3,and apply the division lemma to get
58 = 3 x 19 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7301 and 8586 is 1
Notice that 1 = HCF(3,1) = HCF(58,3) = HCF(409,58) = HCF(876,409) = HCF(1285,876) = HCF(7301,1285) = HCF(8586,7301) .
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Frequently Asked Questions on HCF of 7301, 8586 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 7301, 8586?
Answer: HCF of 7301, 8586 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7301, 8586 using Euclid's Algorithm?
Answer: For arbitrary numbers 7301, 8586 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.