Highest Common Factor of 518, 9007 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, 9007 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 518, 9007 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 518, 9007 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, 9007 is 1.
HCF(518, 9007) = 1
HCF of 518, 9007 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, 9007 is 1.
Highest Common Factor of 518,9007 is 1
Step 1: Since 9007 > 518, we apply the division lemma to 9007 and 518, to get
9007 = 518 x 17 + 201
Step 2: Since the reminder 518 ≠ 0, we apply division lemma to 201 and 518, to get
518 = 201 x 2 + 116
Step 3: We consider the new divisor 201 and the new remainder 116, and apply the division lemma to get
201 = 116 x 1 + 85
We consider the new divisor 116 and the new remainder 85,and apply the division lemma to get
116 = 85 x 1 + 31
We consider the new divisor 85 and the new remainder 31,and apply the division lemma to get
85 = 31 x 2 + 23
We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get
31 = 23 x 1 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 518 and 9007 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(85,31) = HCF(116,85) = HCF(201,116) = HCF(518,201) = HCF(9007,518) .
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Frequently Asked Questions on HCF of 518, 9007 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, 9007?
Answer: HCF of 518, 9007 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 518, 9007 using Euclid's Algorithm?
Answer: For arbitrary numbers 518, 9007 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.