Highest Common Factor of 511, 46801 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 511, 46801 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 511, 46801 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 511, 46801 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 511, 46801 is 1.
HCF(511, 46801) = 1
HCF of 511, 46801 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 511, 46801 is 1.
Highest Common Factor of 511,46801 is 1
Step 1: Since 46801 > 511, we apply the division lemma to 46801 and 511, to get
46801 = 511 x 91 + 300
Step 2: Since the reminder 511 ≠ 0, we apply division lemma to 300 and 511, to get
511 = 300 x 1 + 211
Step 3: We consider the new divisor 300 and the new remainder 211, and apply the division lemma to get
300 = 211 x 1 + 89
We consider the new divisor 211 and the new remainder 89,and apply the division lemma to get
211 = 89 x 2 + 33
We consider the new divisor 89 and the new remainder 33,and apply the division lemma to get
89 = 33 x 2 + 23
We consider the new divisor 33 and the new remainder 23,and apply the division lemma to get
33 = 23 x 1 + 10
We consider the new divisor 23 and the new remainder 10,and apply the division lemma to get
23 = 10 x 2 + 3
We consider the new divisor 10 and the new remainder 3,and apply the division lemma to get
10 = 3 x 3 + 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 511 and 46801 is 1
Notice that 1 = HCF(3,1) = HCF(10,3) = HCF(23,10) = HCF(33,23) = HCF(89,33) = HCF(211,89) = HCF(300,211) = HCF(511,300) = HCF(46801,511) .
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Frequently Asked Questions on HCF of 511, 46801 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 511, 46801?
Answer: HCF of 511, 46801 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 511, 46801 using Euclid's Algorithm?
Answer: For arbitrary numbers 511, 46801 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.