Highest Common Factor of 4468, 2743 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 4468, 2743 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4468, 2743 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 4468, 2743 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 4468, 2743 is 1.

HCF(4468, 2743) = 1

HCF of 4468, 2743 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 4468, 2743 is 1.

Highest Common Factor of 4468,2743 using Euclid's algorithm

Highest Common Factor of 4468,2743 is 1

Step 1: Since 4468 > 2743, we apply the division lemma to 4468 and 2743, to get

4468 = 2743 x 1 + 1725

Step 2: Since the reminder 2743 ≠ 0, we apply division lemma to 1725 and 2743, to get

2743 = 1725 x 1 + 1018

Step 3: We consider the new divisor 1725 and the new remainder 1018, and apply the division lemma to get

1725 = 1018 x 1 + 707

We consider the new divisor 1018 and the new remainder 707,and apply the division lemma to get

1018 = 707 x 1 + 311

We consider the new divisor 707 and the new remainder 311,and apply the division lemma to get

707 = 311 x 2 + 85

We consider the new divisor 311 and the new remainder 85,and apply the division lemma to get

311 = 85 x 3 + 56

We consider the new divisor 85 and the new remainder 56,and apply the division lemma to get

85 = 56 x 1 + 29

We consider the new divisor 56 and the new remainder 29,and apply the division lemma to get

56 = 29 x 1 + 27

We consider the new divisor 29 and the new remainder 27,and apply the division lemma to get

29 = 27 x 1 + 2

We consider the new divisor 27 and the new remainder 2,and apply the division lemma to get

27 = 2 x 13 + 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 4468 and 2743 is 1

Notice that 1 = HCF(2,1) = HCF(27,2) = HCF(29,27) = HCF(56,29) = HCF(85,56) = HCF(311,85) = HCF(707,311) = HCF(1018,707) = HCF(1725,1018) = HCF(2743,1725) = HCF(4468,2743) .

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Frequently Asked Questions on HCF of 4468, 2743 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 4468, 2743?

Answer: HCF of 4468, 2743 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4468, 2743 using Euclid's Algorithm?

Answer: For arbitrary numbers 4468, 2743 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.