Highest Common Factor of 8582, 8719 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, 8719 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8582, 8719 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 8582, 8719 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, 8719 is 1.
HCF(8582, 8719) = 1
HCF of 8582, 8719 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, 8719 is 1.
Highest Common Factor of 8582,8719 is 1
Step 1: Since 8719 > 8582, we apply the division lemma to 8719 and 8582, to get
8719 = 8582 x 1 + 137
Step 2: Since the reminder 8582 ≠ 0, we apply division lemma to 137 and 8582, to get
8582 = 137 x 62 + 88
Step 3: We consider the new divisor 137 and the new remainder 88, and apply the division lemma to get
137 = 88 x 1 + 49
We consider the new divisor 88 and the new remainder 49,and apply the division lemma to get
88 = 49 x 1 + 39
We consider the new divisor 49 and the new remainder 39,and apply the division lemma to get
49 = 39 x 1 + 10
We consider the new divisor 39 and the new remainder 10,and apply the division lemma to get
39 = 10 x 3 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8582 and 8719 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(39,10) = HCF(49,39) = HCF(88,49) = HCF(137,88) = HCF(8582,137) = HCF(8719,8582) .
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Frequently Asked Questions on HCF of 8582, 8719 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, 8719?
Answer: HCF of 8582, 8719 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8582, 8719 using Euclid's Algorithm?
Answer: For arbitrary numbers 8582, 8719 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
