Highest Common Factor of 514, 81423 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 514, 81423 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 514, 81423 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 514, 81423 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 514, 81423 is 1.
HCF(514, 81423) = 1
HCF of 514, 81423 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 514, 81423 is 1.
Highest Common Factor of 514,81423 is 1
Step 1: Since 81423 > 514, we apply the division lemma to 81423 and 514, to get
81423 = 514 x 158 + 211
Step 2: Since the reminder 514 ≠ 0, we apply division lemma to 211 and 514, to get
514 = 211 x 2 + 92
Step 3: We consider the new divisor 211 and the new remainder 92, and apply the division lemma to get
211 = 92 x 2 + 27
We consider the new divisor 92 and the new remainder 27,and apply the division lemma to get
92 = 27 x 3 + 11
We consider the new divisor 27 and the new remainder 11,and apply the division lemma to get
27 = 11 x 2 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 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 514 and 81423 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(27,11) = HCF(92,27) = HCF(211,92) = HCF(514,211) = HCF(81423,514) .
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Frequently Asked Questions on HCF of 514, 81423 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 514, 81423?
Answer: HCF of 514, 81423 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 514, 81423 using Euclid's Algorithm?
Answer: For arbitrary numbers 514, 81423 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
