Highest Common Factor of 2329, 6704, 41426 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 2329, 6704, 41426 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 2329, 6704, 41426 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 2329, 6704, 41426 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 2329, 6704, 41426 is 1.

HCF(2329, 6704, 41426) = 1

HCF of 2329, 6704, 41426 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 2329, 6704, 41426 is 1.

Highest Common Factor of 2329,6704,41426 using Euclid's algorithm

Highest Common Factor of 2329,6704,41426 is 1

Step 1: Since 6704 > 2329, we apply the division lemma to 6704 and 2329, to get

6704 = 2329 x 2 + 2046

Step 2: Since the reminder 2329 ≠ 0, we apply division lemma to 2046 and 2329, to get

2329 = 2046 x 1 + 283

Step 3: We consider the new divisor 2046 and the new remainder 283, and apply the division lemma to get

2046 = 283 x 7 + 65

We consider the new divisor 283 and the new remainder 65,and apply the division lemma to get

283 = 65 x 4 + 23

We consider the new divisor 65 and the new remainder 23,and apply the division lemma to get

65 = 23 x 2 + 19

We consider the new divisor 23 and the new remainder 19,and apply the division lemma to get

23 = 19 x 1 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 2329 and 6704 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(23,19) = HCF(65,23) = HCF(283,65) = HCF(2046,283) = HCF(2329,2046) = HCF(6704,2329) .

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

Step 1: Since 41426 > 1, we apply the division lemma to 41426 and 1, to get

41426 = 1 x 41426 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 41426 is 1

Notice that 1 = HCF(41426,1) .

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Frequently Asked Questions on HCF of 2329, 6704, 41426 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 2329, 6704, 41426?

Answer: HCF of 2329, 6704, 41426 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 2329, 6704, 41426 using Euclid's Algorithm?

Answer: For arbitrary numbers 2329, 6704, 41426 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.