Highest Common Factor of 523, 9711 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 523, 9711 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 523, 9711 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 523, 9711 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 523, 9711 is 1.
HCF(523, 9711) = 1
HCF of 523, 9711 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 523, 9711 is 1.
Highest Common Factor of 523,9711 is 1
Step 1: Since 9711 > 523, we apply the division lemma to 9711 and 523, to get
9711 = 523 x 18 + 297
Step 2: Since the reminder 523 ≠ 0, we apply division lemma to 297 and 523, to get
523 = 297 x 1 + 226
Step 3: We consider the new divisor 297 and the new remainder 226, and apply the division lemma to get
297 = 226 x 1 + 71
We consider the new divisor 226 and the new remainder 71,and apply the division lemma to get
226 = 71 x 3 + 13
We consider the new divisor 71 and the new remainder 13,and apply the division lemma to get
71 = 13 x 5 + 6
We consider the new divisor 13 and the new remainder 6,and apply the division lemma to get
13 = 6 x 2 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 523 and 9711 is 1
Notice that 1 = HCF(6,1) = HCF(13,6) = HCF(71,13) = HCF(226,71) = HCF(297,226) = HCF(523,297) = HCF(9711,523) .
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Frequently Asked Questions on HCF of 523, 9711 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 523, 9711?
Answer: HCF of 523, 9711 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 523, 9711 using Euclid's Algorithm?
Answer: For arbitrary numbers 523, 9711 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.