Highest Common Factor of 5449, 4398, 46833 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 5449, 4398, 46833 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5449, 4398, 46833 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 5449, 4398, 46833 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 5449, 4398, 46833 is 1.

HCF(5449, 4398, 46833) = 1

HCF of 5449, 4398, 46833 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 5449, 4398, 46833 is 1.

Highest Common Factor of 5449,4398,46833 using Euclid's algorithm

Highest Common Factor of 5449,4398,46833 is 1

Step 1: Since 5449 > 4398, we apply the division lemma to 5449 and 4398, to get

5449 = 4398 x 1 + 1051

Step 2: Since the reminder 4398 ≠ 0, we apply division lemma to 1051 and 4398, to get

4398 = 1051 x 4 + 194

Step 3: We consider the new divisor 1051 and the new remainder 194, and apply the division lemma to get

1051 = 194 x 5 + 81

We consider the new divisor 194 and the new remainder 81,and apply the division lemma to get

194 = 81 x 2 + 32

We consider the new divisor 81 and the new remainder 32,and apply the division lemma to get

81 = 32 x 2 + 17

We consider the new divisor 32 and the new remainder 17,and apply the division lemma to get

32 = 17 x 1 + 15

We consider the new divisor 17 and the new remainder 15,and apply the division lemma to get

17 = 15 x 1 + 2

We consider the new divisor 15 and the new remainder 2,and apply the division lemma to get

15 = 2 x 7 + 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 5449 and 4398 is 1

Notice that 1 = HCF(2,1) = HCF(15,2) = HCF(17,15) = HCF(32,17) = HCF(81,32) = HCF(194,81) = HCF(1051,194) = HCF(4398,1051) = HCF(5449,4398) .

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

Step 1: Since 46833 > 1, we apply the division lemma to 46833 and 1, to get

46833 = 1 x 46833 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46833 is 1

Notice that 1 = HCF(46833,1) .

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Frequently Asked Questions on HCF of 5449, 4398, 46833 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 5449, 4398, 46833?

Answer: HCF of 5449, 4398, 46833 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5449, 4398, 46833 using Euclid's Algorithm?

Answer: For arbitrary numbers 5449, 4398, 46833 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.