Highest Common Factor of 8586, 7313 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 8586, 7313 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8586, 7313 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 8586, 7313 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 8586, 7313 is 1.
HCF(8586, 7313) = 1
HCF of 8586, 7313 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8586, 7313 is 1.
Highest Common Factor of 8586,7313 is 1
Step 1: Since 8586 > 7313, we apply the division lemma to 8586 and 7313, to get
8586 = 7313 x 1 + 1273
Step 2: Since the reminder 7313 ≠ 0, we apply division lemma to 1273 and 7313, to get
7313 = 1273 x 5 + 948
Step 3: We consider the new divisor 1273 and the new remainder 948, and apply the division lemma to get
1273 = 948 x 1 + 325
We consider the new divisor 948 and the new remainder 325,and apply the division lemma to get
948 = 325 x 2 + 298
We consider the new divisor 325 and the new remainder 298,and apply the division lemma to get
325 = 298 x 1 + 27
We consider the new divisor 298 and the new remainder 27,and apply the division lemma to get
298 = 27 x 11 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8586 and 7313 is 1
Notice that 1 = HCF(27,1) = HCF(298,27) = HCF(325,298) = HCF(948,325) = HCF(1273,948) = HCF(7313,1273) = HCF(8586,7313) .
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Frequently Asked Questions on HCF of 8586, 7313 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 8586, 7313?
Answer: HCF of 8586, 7313 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8586, 7313 using Euclid's Algorithm?
Answer: For arbitrary numbers 8586, 7313 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.