Highest Common Factor of 5911, 6621 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 5911, 6621 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5911, 6621 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 5911, 6621 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 5911, 6621 is 1.
HCF(5911, 6621) = 1
HCF of 5911, 6621 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5911, 6621 is 1.
Highest Common Factor of 5911,6621 is 1
Step 1: Since 6621 > 5911, we apply the division lemma to 6621 and 5911, to get
6621 = 5911 x 1 + 710
Step 2: Since the reminder 5911 ≠ 0, we apply division lemma to 710 and 5911, to get
5911 = 710 x 8 + 231
Step 3: We consider the new divisor 710 and the new remainder 231, and apply the division lemma to get
710 = 231 x 3 + 17
We consider the new divisor 231 and the new remainder 17,and apply the division lemma to get
231 = 17 x 13 + 10
We consider the new divisor 17 and the new remainder 10,and apply the division lemma to get
17 = 10 x 1 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 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 5911 and 6621 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(17,10) = HCF(231,17) = HCF(710,231) = HCF(5911,710) = HCF(6621,5911) .
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Frequently Asked Questions on HCF of 5911, 6621 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 5911, 6621?
Answer: HCF of 5911, 6621 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5911, 6621 using Euclid's Algorithm?
Answer: For arbitrary numbers 5911, 6621 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.