Highest Common Factor of 469, 5987 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 469, 5987 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 469, 5987 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 469, 5987 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 469, 5987 is 1.
HCF(469, 5987) = 1
HCF of 469, 5987 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 469, 5987 is 1.
Highest Common Factor of 469,5987 is 1
Step 1: Since 5987 > 469, we apply the division lemma to 5987 and 469, to get
5987 = 469 x 12 + 359
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 359 and 469, to get
469 = 359 x 1 + 110
Step 3: We consider the new divisor 359 and the new remainder 110, and apply the division lemma to get
359 = 110 x 3 + 29
We consider the new divisor 110 and the new remainder 29,and apply the division lemma to get
110 = 29 x 3 + 23
We consider the new divisor 29 and the new remainder 23,and apply the division lemma to get
29 = 23 x 1 + 6
We consider the new divisor 23 and the new remainder 6,and apply the division lemma to get
23 = 6 x 3 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 469 and 5987 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(23,6) = HCF(29,23) = HCF(110,29) = HCF(359,110) = HCF(469,359) = HCF(5987,469) .
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Frequently Asked Questions on HCF of 469, 5987 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 469, 5987?
Answer: HCF of 469, 5987 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 469, 5987 using Euclid's Algorithm?
Answer: For arbitrary numbers 469, 5987 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.