Highest Common Factor of 4849, 5248, 58884 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 4849, 5248, 58884 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4849, 5248, 58884 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 4849, 5248, 58884 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 4849, 5248, 58884 is 1.

HCF(4849, 5248, 58884) = 1

HCF of 4849, 5248, 58884 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 4849, 5248, 58884 is 1.

Highest Common Factor of 4849,5248,58884 using Euclid's algorithm

Highest Common Factor of 4849,5248,58884 is 1

Step 1: Since 5248 > 4849, we apply the division lemma to 5248 and 4849, to get

5248 = 4849 x 1 + 399

Step 2: Since the reminder 4849 ≠ 0, we apply division lemma to 399 and 4849, to get

4849 = 399 x 12 + 61

Step 3: We consider the new divisor 399 and the new remainder 61, and apply the division lemma to get

399 = 61 x 6 + 33

We consider the new divisor 61 and the new remainder 33,and apply the division lemma to get

61 = 33 x 1 + 28

We consider the new divisor 33 and the new remainder 28,and apply the division lemma to get

33 = 28 x 1 + 5

We consider the new divisor 28 and the new remainder 5,and apply the division lemma to get

28 = 5 x 5 + 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 4849 and 5248 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(28,5) = HCF(33,28) = HCF(61,33) = HCF(399,61) = HCF(4849,399) = HCF(5248,4849) .

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

Step 1: Since 58884 > 1, we apply the division lemma to 58884 and 1, to get

58884 = 1 x 58884 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 58884 is 1

Notice that 1 = HCF(58884,1) .

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Frequently Asked Questions on HCF of 4849, 5248, 58884 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 4849, 5248, 58884?

Answer: HCF of 4849, 5248, 58884 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4849, 5248, 58884 using Euclid's Algorithm?

Answer: For arbitrary numbers 4849, 5248, 58884 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.