Highest Common Factor of 3663, 6644 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 3663, 6644 i.e. 11 the largest integer that leaves a remainder zero for all numbers.
HCF of 3663, 6644 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 3663, 6644 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 3663, 6644 is 11.
HCF(3663, 6644) = 11
HCF of 3663, 6644 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3663, 6644 is 11.
Highest Common Factor of 3663,6644 is 11
Step 1: Since 6644 > 3663, we apply the division lemma to 6644 and 3663, to get
6644 = 3663 x 1 + 2981
Step 2: Since the reminder 3663 ≠ 0, we apply division lemma to 2981 and 3663, to get
3663 = 2981 x 1 + 682
Step 3: We consider the new divisor 2981 and the new remainder 682, and apply the division lemma to get
2981 = 682 x 4 + 253
We consider the new divisor 682 and the new remainder 253,and apply the division lemma to get
682 = 253 x 2 + 176
We consider the new divisor 253 and the new remainder 176,and apply the division lemma to get
253 = 176 x 1 + 77
We consider the new divisor 176 and the new remainder 77,and apply the division lemma to get
176 = 77 x 2 + 22
We consider the new divisor 77 and the new remainder 22,and apply the division lemma to get
77 = 22 x 3 + 11
We consider the new divisor 22 and the new remainder 11,and apply the division lemma to get
22 = 11 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 11, the HCF of 3663 and 6644 is 11
Notice that 11 = HCF(22,11) = HCF(77,22) = HCF(176,77) = HCF(253,176) = HCF(682,253) = HCF(2981,682) = HCF(3663,2981) = HCF(6644,3663) .
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Frequently Asked Questions on HCF of 3663, 6644 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 3663, 6644?
Answer: HCF of 3663, 6644 is 11 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3663, 6644 using Euclid's Algorithm?
Answer: For arbitrary numbers 3663, 6644 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.