Highest Common Factor of 811, 5161, 6496 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, 5161, 6496 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 5161, 6496 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, 5161, 6496 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, 5161, 6496 is 1.
HCF(811, 5161, 6496) = 1
HCF of 811, 5161, 6496 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, 5161, 6496 is 1.
Highest Common Factor of 811,5161,6496 is 1
Step 1: Since 5161 > 811, we apply the division lemma to 5161 and 811, to get
5161 = 811 x 6 + 295
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 295 and 811, to get
811 = 295 x 2 + 221
Step 3: We consider the new divisor 295 and the new remainder 221, and apply the division lemma to get
295 = 221 x 1 + 74
We consider the new divisor 221 and the new remainder 74,and apply the division lemma to get
221 = 74 x 2 + 73
We consider the new divisor 74 and the new remainder 73,and apply the division lemma to get
74 = 73 x 1 + 1
We consider the new divisor 73 and the new remainder 1,and apply the division lemma to get
73 = 1 x 73 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 5161 is 1
Notice that 1 = HCF(73,1) = HCF(74,73) = HCF(221,74) = HCF(295,221) = HCF(811,295) = HCF(5161,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6496 > 1, we apply the division lemma to 6496 and 1, to get
6496 = 1 x 6496 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6496 is 1
Notice that 1 = HCF(6496,1) .
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Frequently Asked Questions on HCF of 811, 5161, 6496 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, 5161, 6496?
Answer: HCF of 811, 5161, 6496 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 5161, 6496 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 5161, 6496 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
