Highest Common Factor of 6603, 3611 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, 3611 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6603, 3611 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, 3611 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, 3611 is 1.
HCF(6603, 3611) = 1
HCF of 6603, 3611 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, 3611 is 1.
Highest Common Factor of 6603,3611 is 1
Step 1: Since 6603 > 3611, we apply the division lemma to 6603 and 3611, to get
6603 = 3611 x 1 + 2992
Step 2: Since the reminder 3611 ≠ 0, we apply division lemma to 2992 and 3611, to get
3611 = 2992 x 1 + 619
Step 3: We consider the new divisor 2992 and the new remainder 619, and apply the division lemma to get
2992 = 619 x 4 + 516
We consider the new divisor 619 and the new remainder 516,and apply the division lemma to get
619 = 516 x 1 + 103
We consider the new divisor 516 and the new remainder 103,and apply the division lemma to get
516 = 103 x 5 + 1
We consider the new divisor 103 and the new remainder 1,and apply the division lemma to get
103 = 1 x 103 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6603 and 3611 is 1
Notice that 1 = HCF(103,1) = HCF(516,103) = HCF(619,516) = HCF(2992,619) = HCF(3611,2992) = HCF(6603,3611) .
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Frequently Asked Questions on HCF of 6603, 3611 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, 3611?
Answer: HCF of 6603, 3611 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6603, 3611 using Euclid's Algorithm?
Answer: For arbitrary numbers 6603, 3611 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
