Highest Common Factor of 811, 523 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 811, 523 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 523 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 811, 523 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 811, 523 is 1.
HCF(811, 523) = 1
HCF of 811, 523 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 811, 523 is 1.
Highest Common Factor of 811,523 is 1
Step 1: Since 811 > 523, we apply the division lemma to 811 and 523, to get
811 = 523 x 1 + 288
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 288 and 523, to get
523 = 288 x 1 + 235
Step 3: We consider the new divisor 288 and the new remainder 235, and apply the division lemma to get
288 = 235 x 1 + 53
We consider the new divisor 235 and the new remainder 53,and apply the division lemma to get
235 = 53 x 4 + 23
We consider the new divisor 53 and the new remainder 23,and apply the division lemma to get
53 = 23 x 2 + 7
We consider the new divisor 23 and the new remainder 7,and apply the division lemma to get
23 = 7 x 3 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 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 811 and 523 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(23,7) = HCF(53,23) = HCF(235,53) = HCF(288,235) = HCF(523,288) = HCF(811,523) .
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Frequently Asked Questions on HCF of 811, 523 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 811, 523?
Answer: HCF of 811, 523 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 523 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 523 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.