Highest Common Factor of 5029, 5366, 45882 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 5029, 5366, 45882 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5029, 5366, 45882 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 5029, 5366, 45882 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 5029, 5366, 45882 is 1.

HCF(5029, 5366, 45882) = 1

HCF of 5029, 5366, 45882 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 5029, 5366, 45882 is 1.

Highest Common Factor of 5029,5366,45882 using Euclid's algorithm

Highest Common Factor of 5029,5366,45882 is 1

Step 1: Since 5366 > 5029, we apply the division lemma to 5366 and 5029, to get

5366 = 5029 x 1 + 337

Step 2: Since the reminder 5029 ≠ 0, we apply division lemma to 337 and 5029, to get

5029 = 337 x 14 + 311

Step 3: We consider the new divisor 337 and the new remainder 311, and apply the division lemma to get

337 = 311 x 1 + 26

We consider the new divisor 311 and the new remainder 26,and apply the division lemma to get

311 = 26 x 11 + 25

We consider the new divisor 26 and the new remainder 25,and apply the division lemma to get

26 = 25 x 1 + 1

We consider the new divisor 25 and the new remainder 1,and apply the division lemma to get

25 = 1 x 25 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5029 and 5366 is 1

Notice that 1 = HCF(25,1) = HCF(26,25) = HCF(311,26) = HCF(337,311) = HCF(5029,337) = HCF(5366,5029) .

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

Step 1: Since 45882 > 1, we apply the division lemma to 45882 and 1, to get

45882 = 1 x 45882 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 45882 is 1

Notice that 1 = HCF(45882,1) .

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Frequently Asked Questions on HCF of 5029, 5366, 45882 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 5029, 5366, 45882?

Answer: HCF of 5029, 5366, 45882 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5029, 5366, 45882 using Euclid's Algorithm?

Answer: For arbitrary numbers 5029, 5366, 45882 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.