Highest Common Factor of 811, 3087, 9213 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, 3087, 9213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 811, 3087, 9213 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, 3087, 9213 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, 3087, 9213 is 1.
HCF(811, 3087, 9213) = 1
HCF of 811, 3087, 9213 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, 3087, 9213 is 1.
Highest Common Factor of 811,3087,9213 is 1
Step 1: Since 3087 > 811, we apply the division lemma to 3087 and 811, to get
3087 = 811 x 3 + 654
Step 2: Since the reminder 811 ≠ 0, we apply division lemma to 654 and 811, to get
811 = 654 x 1 + 157
Step 3: We consider the new divisor 654 and the new remainder 157, and apply the division lemma to get
654 = 157 x 4 + 26
We consider the new divisor 157 and the new remainder 26,and apply the division lemma to get
157 = 26 x 6 + 1
We consider the new divisor 26 and the new remainder 1,and apply the division lemma to get
26 = 1 x 26 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 3087 is 1
Notice that 1 = HCF(26,1) = HCF(157,26) = HCF(654,157) = HCF(811,654) = HCF(3087,811) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 9213 > 1, we apply the division lemma to 9213 and 1, to get
9213 = 1 x 9213 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 9213 is 1
Notice that 1 = HCF(9213,1) .
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Frequently Asked Questions on HCF of 811, 3087, 9213 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, 3087, 9213?
Answer: HCF of 811, 3087, 9213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 811, 3087, 9213 using Euclid's Algorithm?
Answer: For arbitrary numbers 811, 3087, 9213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.