Highest Common Factor of 3441, 6600 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 3441, 6600 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 3441, 6600 is 3 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 3441, 6600 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 3441, 6600 is 3.
HCF(3441, 6600) = 3
HCF of 3441, 6600 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3441, 6600 is 3.
Highest Common Factor of 3441,6600 is 3
Step 1: Since 6600 > 3441, we apply the division lemma to 6600 and 3441, to get
6600 = 3441 x 1 + 3159
Step 2: Since the reminder 3441 ≠ 0, we apply division lemma to 3159 and 3441, to get
3441 = 3159 x 1 + 282
Step 3: We consider the new divisor 3159 and the new remainder 282, and apply the division lemma to get
3159 = 282 x 11 + 57
We consider the new divisor 282 and the new remainder 57,and apply the division lemma to get
282 = 57 x 4 + 54
We consider the new divisor 57 and the new remainder 54,and apply the division lemma to get
57 = 54 x 1 + 3
We consider the new divisor 54 and the new remainder 3,and apply the division lemma to get
54 = 3 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3441 and 6600 is 3
Notice that 3 = HCF(54,3) = HCF(57,54) = HCF(282,57) = HCF(3159,282) = HCF(3441,3159) = HCF(6600,3441) .
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Frequently Asked Questions on HCF of 3441, 6600 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 3441, 6600?
Answer: HCF of 3441, 6600 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3441, 6600 using Euclid's Algorithm?
Answer: For arbitrary numbers 3441, 6600 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.