Highest Common Factor of 6589, 2277 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 6589, 2277 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 6589, 2277 is 11 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 6589, 2277 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 6589, 2277 is 11.
HCF(6589, 2277) = 11
HCF of 6589, 2277 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6589, 2277 is 11.
Highest Common Factor of 6589,2277 is 11
Step 1: Since 6589 > 2277, we apply the division lemma to 6589 and 2277, to get
6589 = 2277 x 2 + 2035
Step 2: Since the reminder 2277 ≠ 0, we apply division lemma to 2035 and 2277, to get
2277 = 2035 x 1 + 242
Step 3: We consider the new divisor 2035 and the new remainder 242, and apply the division lemma to get
2035 = 242 x 8 + 99
We consider the new divisor 242 and the new remainder 99,and apply the division lemma to get
242 = 99 x 2 + 44
We consider the new divisor 99 and the new remainder 44,and apply the division lemma to get
99 = 44 x 2 + 11
We consider the new divisor 44 and the new remainder 11,and apply the division lemma to get
44 = 11 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 6589 and 2277 is 11
Notice that 11 = HCF(44,11) = HCF(99,44) = HCF(242,99) = HCF(2035,242) = HCF(2277,2035) = HCF(6589,2277) .
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Frequently Asked Questions on HCF of 6589, 2277 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 6589, 2277?
Answer: HCF of 6589, 2277 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6589, 2277 using Euclid's Algorithm?
Answer: For arbitrary numbers 6589, 2277 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
