Highest Common Factor of 487, 5129 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 487, 5129 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 487, 5129 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 487, 5129 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 487, 5129 is 1.
HCF(487, 5129) = 1
HCF of 487, 5129 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 487, 5129 is 1.
Highest Common Factor of 487,5129 is 1
Step 1: Since 5129 > 487, we apply the division lemma to 5129 and 487, to get
5129 = 487 x 10 + 259
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 259 and 487, to get
487 = 259 x 1 + 228
Step 3: We consider the new divisor 259 and the new remainder 228, and apply the division lemma to get
259 = 228 x 1 + 31
We consider the new divisor 228 and the new remainder 31,and apply the division lemma to get
228 = 31 x 7 + 11
We consider the new divisor 31 and the new remainder 11,and apply the division lemma to get
31 = 11 x 2 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 487 and 5129 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(31,11) = HCF(228,31) = HCF(259,228) = HCF(487,259) = HCF(5129,487) .
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Frequently Asked Questions on HCF of 487, 5129 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 487, 5129?
Answer: HCF of 487, 5129 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 487, 5129 using Euclid's Algorithm?
Answer: For arbitrary numbers 487, 5129 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.