Highest Common Factor of 283, 489 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 283, 489 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 283, 489 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 283, 489 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 283, 489 is 1.

HCF(283, 489) = 1

HCF of 283, 489 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 283, 489 is 1.

Highest Common Factor of 283,489 using Euclid's algorithm

Highest Common Factor of 283,489 is 1

Step 1: Since 489 > 283, we apply the division lemma to 489 and 283, to get

489 = 283 x 1 + 206

Step 2: Since the reminder 283 ≠ 0, we apply division lemma to 206 and 283, to get

283 = 206 x 1 + 77

Step 3: We consider the new divisor 206 and the new remainder 77, and apply the division lemma to get

206 = 77 x 2 + 52

We consider the new divisor 77 and the new remainder 52,and apply the division lemma to get

77 = 52 x 1 + 25

We consider the new divisor 52 and the new remainder 25,and apply the division lemma to get

52 = 25 x 2 + 2

We consider the new divisor 25 and the new remainder 2,and apply the division lemma to get

25 = 2 x 12 + 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 283 and 489 is 1

Notice that 1 = HCF(2,1) = HCF(25,2) = HCF(52,25) = HCF(77,52) = HCF(206,77) = HCF(283,206) = HCF(489,283) .

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Frequently Asked Questions on HCF of 283, 489 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 283, 489?

Answer: HCF of 283, 489 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 283, 489 using Euclid's Algorithm?

Answer: For arbitrary numbers 283, 489 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.