Highest Common Factor of 4487, 1643 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 4487, 1643 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 4487, 1643 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 4487, 1643 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 4487, 1643 is 1.

HCF(4487, 1643) = 1

HCF of 4487, 1643 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 4487, 1643 is 1.

Highest Common Factor of 4487,1643 using Euclid's algorithm

Highest Common Factor of 4487,1643 is 1

Step 1: Since 4487 > 1643, we apply the division lemma to 4487 and 1643, to get

4487 = 1643 x 2 + 1201

Step 2: Since the reminder 1643 ≠ 0, we apply division lemma to 1201 and 1643, to get

1643 = 1201 x 1 + 442

Step 3: We consider the new divisor 1201 and the new remainder 442, and apply the division lemma to get

1201 = 442 x 2 + 317

We consider the new divisor 442 and the new remainder 317,and apply the division lemma to get

442 = 317 x 1 + 125

We consider the new divisor 317 and the new remainder 125,and apply the division lemma to get

317 = 125 x 2 + 67

We consider the new divisor 125 and the new remainder 67,and apply the division lemma to get

125 = 67 x 1 + 58

We consider the new divisor 67 and the new remainder 58,and apply the division lemma to get

67 = 58 x 1 + 9

We consider the new divisor 58 and the new remainder 9,and apply the division lemma to get

58 = 9 x 6 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4487 and 1643 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(58,9) = HCF(67,58) = HCF(125,67) = HCF(317,125) = HCF(442,317) = HCF(1201,442) = HCF(1643,1201) = HCF(4487,1643) .

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Frequently Asked Questions on HCF of 4487, 1643 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 4487, 1643?

Answer: HCF of 4487, 1643 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 4487, 1643 using Euclid's Algorithm?

Answer: For arbitrary numbers 4487, 1643 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.