Highest Common Factor of 3449, 5937 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, 5937 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3449, 5937 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, 5937 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, 5937 is 1.

HCF(3449, 5937) = 1

HCF of 3449, 5937 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, 5937 is 1.

Highest Common Factor of 3449,5937 using Euclid's algorithm

Highest Common Factor of 3449,5937 is 1

Step 1: Since 5937 > 3449, we apply the division lemma to 5937 and 3449, to get

5937 = 3449 x 1 + 2488

Step 2: Since the reminder 3449 ≠ 0, we apply division lemma to 2488 and 3449, to get

3449 = 2488 x 1 + 961

Step 3: We consider the new divisor 2488 and the new remainder 961, and apply the division lemma to get

2488 = 961 x 2 + 566

We consider the new divisor 961 and the new remainder 566,and apply the division lemma to get

961 = 566 x 1 + 395

We consider the new divisor 566 and the new remainder 395,and apply the division lemma to get

566 = 395 x 1 + 171

We consider the new divisor 395 and the new remainder 171,and apply the division lemma to get

395 = 171 x 2 + 53

We consider the new divisor 171 and the new remainder 53,and apply the division lemma to get

171 = 53 x 3 + 12

We consider the new divisor 53 and the new remainder 12,and apply the division lemma to get

53 = 12 x 4 + 5

We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get

12 = 5 x 2 + 2

We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get

5 = 2 x 2 + 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 5937 is 1

Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(53,12) = HCF(171,53) = HCF(395,171) = HCF(566,395) = HCF(961,566) = HCF(2488,961) = HCF(3449,2488) = HCF(5937,3449) .

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Frequently Asked Questions on HCF of 3449, 5937 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, 5937?

Answer: HCF of 3449, 5937 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3449, 5937 using Euclid's Algorithm?

Answer: For arbitrary numbers 3449, 5937 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.