Highest Common Factor of 3449, 2155 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 3449, 2155 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3449, 2155 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 3449, 2155 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 3449, 2155 is 1.

HCF(3449, 2155) = 1

HCF of 3449, 2155 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 3449, 2155 is 1.

Highest Common Factor of 3449,2155 using Euclid's algorithm

Highest Common Factor of 3449,2155 is 1

Step 1: Since 3449 > 2155, we apply the division lemma to 3449 and 2155, to get

3449 = 2155 x 1 + 1294

Step 2: Since the reminder 2155 ≠ 0, we apply division lemma to 1294 and 2155, to get

2155 = 1294 x 1 + 861

Step 3: We consider the new divisor 1294 and the new remainder 861, and apply the division lemma to get

1294 = 861 x 1 + 433

We consider the new divisor 861 and the new remainder 433,and apply the division lemma to get

861 = 433 x 1 + 428

We consider the new divisor 433 and the new remainder 428,and apply the division lemma to get

433 = 428 x 1 + 5

We consider the new divisor 428 and the new remainder 5,and apply the division lemma to get

428 = 5 x 85 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get

2 = 1 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3449 and 2155 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(428,5) = HCF(433,428) = HCF(861,433) = HCF(1294,861) = HCF(2155,1294) = HCF(3449,2155) .

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Frequently Asked Questions on HCF of 3449, 2155 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 3449, 2155?

Answer: HCF of 3449, 2155 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3449, 2155 using Euclid's Algorithm?

Answer: For arbitrary numbers 3449, 2155 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.