Highest Common Factor of 811, 8732 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, 8732 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 8732 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, 8732 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, 8732 is 1.
HCF(811, 8732) = 1
HCF of 811, 8732 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, 8732 is 1.
Highest Common Factor of 811,8732 is 1
Step 1: Since 8732 > 811, we apply the division lemma to 8732 and 811, to get
8732 = 811 x 10 + 622
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 622 and 811, to get
811 = 622 x 1 + 189
Step 3: We consider the new divisor 622 and the new remainder 189, and apply the division lemma to get
622 = 189 x 3 + 55
We consider the new divisor 189 and the new remainder 55,and apply the division lemma to get
189 = 55 x 3 + 24
We consider the new divisor 55 and the new remainder 24,and apply the division lemma to get
55 = 24 x 2 + 7
We consider the new divisor 24 and the new remainder 7,and apply the division lemma to get
24 = 7 x 3 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 8732 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(24,7) = HCF(55,24) = HCF(189,55) = HCF(622,189) = HCF(811,622) = HCF(8732,811) .
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Frequently Asked Questions on HCF of 811, 8732 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, 8732?
Answer: HCF of 811, 8732 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 8732 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 8732 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.