Highest Common Factor of 6603, 4589 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 6603, 4589 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6603, 4589 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 6603, 4589 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 6603, 4589 is 1.
HCF(6603, 4589) = 1
HCF of 6603, 4589 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6603, 4589 is 1.
Highest Common Factor of 6603,4589 is 1
Step 1: Since 6603 > 4589, we apply the division lemma to 6603 and 4589, to get
6603 = 4589 x 1 + 2014
Step 2: Since the reminder 4589 ≠ 0, we apply division lemma to 2014 and 4589, to get
4589 = 2014 x 2 + 561
Step 3: We consider the new divisor 2014 and the new remainder 561, and apply the division lemma to get
2014 = 561 x 3 + 331
We consider the new divisor 561 and the new remainder 331,and apply the division lemma to get
561 = 331 x 1 + 230
We consider the new divisor 331 and the new remainder 230,and apply the division lemma to get
331 = 230 x 1 + 101
We consider the new divisor 230 and the new remainder 101,and apply the division lemma to get
230 = 101 x 2 + 28
We consider the new divisor 101 and the new remainder 28,and apply the division lemma to get
101 = 28 x 3 + 17
We consider the new divisor 28 and the new remainder 17,and apply the division lemma to get
28 = 17 x 1 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6603 and 4589 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(28,17) = HCF(101,28) = HCF(230,101) = HCF(331,230) = HCF(561,331) = HCF(2014,561) = HCF(4589,2014) = HCF(6603,4589) .
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Frequently Asked Questions on HCF of 6603, 4589 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 6603, 4589?
Answer: HCF of 6603, 4589 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6603, 4589 using Euclid's Algorithm?
Answer: For arbitrary numbers 6603, 4589 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.