Highest Common Factor of 8582, 5888 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 8582, 5888 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8582, 5888 is 2 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 8582, 5888 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 8582, 5888 is 2.
HCF(8582, 5888) = 2
HCF of 8582, 5888 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8582, 5888 is 2.
Highest Common Factor of 8582,5888 is 2
Step 1: Since 8582 > 5888, we apply the division lemma to 8582 and 5888, to get
8582 = 5888 x 1 + 2694
Step 2: Since the reminder 5888 ≠ 0, we apply division lemma to 2694 and 5888, to get
5888 = 2694 x 2 + 500
Step 3: We consider the new divisor 2694 and the new remainder 500, and apply the division lemma to get
2694 = 500 x 5 + 194
We consider the new divisor 500 and the new remainder 194,and apply the division lemma to get
500 = 194 x 2 + 112
We consider the new divisor 194 and the new remainder 112,and apply the division lemma to get
194 = 112 x 1 + 82
We consider the new divisor 112 and the new remainder 82,and apply the division lemma to get
112 = 82 x 1 + 30
We consider the new divisor 82 and the new remainder 30,and apply the division lemma to get
82 = 30 x 2 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 8582 and 5888 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(82,30) = HCF(112,82) = HCF(194,112) = HCF(500,194) = HCF(2694,500) = HCF(5888,2694) = HCF(8582,5888) .
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Frequently Asked Questions on HCF of 8582, 5888 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 8582, 5888?
Answer: HCF of 8582, 5888 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8582, 5888 using Euclid's Algorithm?
Answer: For arbitrary numbers 8582, 5888 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.