Highest Common Factor of 3446, 2143 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 3446, 2143 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3446, 2143 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 3446, 2143 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 3446, 2143 is 1.

HCF(3446, 2143) = 1

HCF of 3446, 2143 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 3446, 2143 is 1.

Highest Common Factor of 3446,2143 using Euclid's algorithm

Highest Common Factor of 3446,2143 is 1

Step 1: Since 3446 > 2143, we apply the division lemma to 3446 and 2143, to get

3446 = 2143 x 1 + 1303

Step 2: Since the reminder 2143 ≠ 0, we apply division lemma to 1303 and 2143, to get

2143 = 1303 x 1 + 840

Step 3: We consider the new divisor 1303 and the new remainder 840, and apply the division lemma to get

1303 = 840 x 1 + 463

We consider the new divisor 840 and the new remainder 463,and apply the division lemma to get

840 = 463 x 1 + 377

We consider the new divisor 463 and the new remainder 377,and apply the division lemma to get

463 = 377 x 1 + 86

We consider the new divisor 377 and the new remainder 86,and apply the division lemma to get

377 = 86 x 4 + 33

We consider the new divisor 86 and the new remainder 33,and apply the division lemma to get

86 = 33 x 2 + 20

We consider the new divisor 33 and the new remainder 20,and apply the division lemma to get

33 = 20 x 1 + 13

We consider the new divisor 20 and the new remainder 13,and apply the division lemma to get

20 = 13 x 1 + 7

We consider the new divisor 13 and the new remainder 7,and apply the division lemma to get

13 = 7 x 1 + 6

We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get

7 = 6 x 1 + 1

We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get

6 = 1 x 6 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3446 and 2143 is 1

Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(13,7) = HCF(20,13) = HCF(33,20) = HCF(86,33) = HCF(377,86) = HCF(463,377) = HCF(840,463) = HCF(1303,840) = HCF(2143,1303) = HCF(3446,2143) .

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Frequently Asked Questions on HCF of 3446, 2143 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 3446, 2143?

Answer: HCF of 3446, 2143 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3446, 2143 using Euclid's Algorithm?

Answer: For arbitrary numbers 3446, 2143 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.