Highest Common Factor of 403, 4348, 5703 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 403, 4348, 5703 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 403, 4348, 5703 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 403, 4348, 5703 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 403, 4348, 5703 is 1.

HCF(403, 4348, 5703) = 1

HCF of 403, 4348, 5703 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 403, 4348, 5703 is 1.

Highest Common Factor of 403,4348,5703 using Euclid's algorithm

Highest Common Factor of 403,4348,5703 is 1

Step 1: Since 4348 > 403, we apply the division lemma to 4348 and 403, to get

4348 = 403 x 10 + 318

Step 2: Since the reminder 403 ≠ 0, we apply division lemma to 318 and 403, to get

403 = 318 x 1 + 85

Step 3: We consider the new divisor 318 and the new remainder 85, and apply the division lemma to get

318 = 85 x 3 + 63

We consider the new divisor 85 and the new remainder 63,and apply the division lemma to get

85 = 63 x 1 + 22

We consider the new divisor 63 and the new remainder 22,and apply the division lemma to get

63 = 22 x 2 + 19

We consider the new divisor 22 and the new remainder 19,and apply the division lemma to get

22 = 19 x 1 + 3

We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get

19 = 3 x 6 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 403 and 4348 is 1

Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(22,19) = HCF(63,22) = HCF(85,63) = HCF(318,85) = HCF(403,318) = HCF(4348,403) .

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

Step 1: Since 5703 > 1, we apply the division lemma to 5703 and 1, to get

5703 = 1 x 5703 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 5703 is 1

Notice that 1 = HCF(5703,1) .

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Frequently Asked Questions on HCF of 403, 4348, 5703 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 403, 4348, 5703?

Answer: HCF of 403, 4348, 5703 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 403, 4348, 5703 using Euclid's Algorithm?

Answer: For arbitrary numbers 403, 4348, 5703 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.