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, 2981 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8586, 2981 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, 2981 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, 2981 is 1.
HCF(8586, 2981) = 1
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8586, 2981 is 1.
Step 1: Since 8586 > 2981, we apply the division lemma to 8586 and 2981, to get
8586 = 2981 x 2 + 2624
Step 2: Since the reminder 2981 ≠ 0, we apply division lemma to 2624 and 2981, to get
2981 = 2624 x 1 + 357
Step 3: We consider the new divisor 2624 and the new remainder 357, and apply the division lemma to get
2624 = 357 x 7 + 125
We consider the new divisor 357 and the new remainder 125,and apply the division lemma to get
357 = 125 x 2 + 107
We consider the new divisor 125 and the new remainder 107,and apply the division lemma to get
125 = 107 x 1 + 18
We consider the new divisor 107 and the new remainder 18,and apply the division lemma to get
107 = 18 x 5 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8586 and 2981 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(107,18) = HCF(125,107) = HCF(357,125) = HCF(2624,357) = HCF(2981,2624) = HCF(8586,2981) .
Here are some samples of HCF using Euclid's Algorithm calculations.
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, 2981?
Answer: HCF of 8586, 2981 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8586, 2981 using Euclid's Algorithm?
Answer: For arbitrary numbers 8586, 2981 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.