Highest Common Factor of 518, 8547 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 518, 8547 i.e. 259 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 8547 is 259 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 518, 8547 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 518, 8547 is 259.
HCF(518, 8547) = 259
HCF of 518, 8547 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 518, 8547 is 259.
Highest Common Factor of 518,8547 is 259
Step 1: Since 8547 > 518, we apply the division lemma to 8547 and 518, to get
8547 = 518 x 16 + 259
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 259 and 518, to get
518 = 259 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 259, the HCF of 518 and 8547 is 259
Notice that 259 = HCF(518,259) = HCF(8547,518) .
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Frequently Asked Questions on HCF of 518, 8547 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 518, 8547?
Answer: HCF of 518, 8547 is 259 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 8547 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 8547 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.