Highest Common Factor of 6411, 3306, 41746 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 6411, 3306, 41746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6411, 3306, 41746 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 6411, 3306, 41746 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 6411, 3306, 41746 is 1.

HCF(6411, 3306, 41746) = 1

HCF of 6411, 3306, 41746 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

HCF of:

Highest common factor (HCF) of 6411, 3306, 41746 is 1.

Highest Common Factor of 6411,3306,41746 using Euclid's algorithm

Highest Common Factor of 6411,3306,41746 is 1

Step 1: Since 6411 > 3306, we apply the division lemma to 6411 and 3306, to get

6411 = 3306 x 1 + 3105

Step 2: Since the reminder 3306 ≠ 0, we apply division lemma to 3105 and 3306, to get

3306 = 3105 x 1 + 201

Step 3: We consider the new divisor 3105 and the new remainder 201, and apply the division lemma to get

3105 = 201 x 15 + 90

We consider the new divisor 201 and the new remainder 90,and apply the division lemma to get

201 = 90 x 2 + 21

We consider the new divisor 90 and the new remainder 21,and apply the division lemma to get

90 = 21 x 4 + 6

We consider the new divisor 21 and the new remainder 6,and apply the division lemma to get

21 = 6 x 3 + 3

We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get

6 = 3 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 6411 and 3306 is 3

Notice that 3 = HCF(6,3) = HCF(21,6) = HCF(90,21) = HCF(201,90) = HCF(3105,201) = HCF(3306,3105) = HCF(6411,3306) .

We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma

Step 1: Since 41746 > 3, we apply the division lemma to 41746 and 3, to get

41746 = 3 x 13915 + 1

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 41746 is 1

Notice that 1 = HCF(3,1) = HCF(41746,3) .

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Frequently Asked Questions on HCF of 6411, 3306, 41746 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 6411, 3306, 41746?

Answer: HCF of 6411, 3306, 41746 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6411, 3306, 41746 using Euclid's Algorithm?

Answer: For arbitrary numbers 6411, 3306, 41746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.