Highest Common Factor of 489, 786, 563, 415 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 489, 786, 563, 415 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 489, 786, 563, 415 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 489, 786, 563, 415 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 489, 786, 563, 415 is 1.

HCF(489, 786, 563, 415) = 1

HCF of 489, 786, 563, 415 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 489, 786, 563, 415 is 1.

Highest Common Factor of 489,786,563,415 using Euclid's algorithm

Highest Common Factor of 489,786,563,415 is 1

Step 1: Since 786 > 489, we apply the division lemma to 786 and 489, to get

786 = 489 x 1 + 297

Step 2: Since the reminder 489 ≠ 0, we apply division lemma to 297 and 489, to get

489 = 297 x 1 + 192

Step 3: We consider the new divisor 297 and the new remainder 192, and apply the division lemma to get

297 = 192 x 1 + 105

We consider the new divisor 192 and the new remainder 105,and apply the division lemma to get

192 = 105 x 1 + 87

We consider the new divisor 105 and the new remainder 87,and apply the division lemma to get

105 = 87 x 1 + 18

We consider the new divisor 87 and the new remainder 18,and apply the division lemma to get

87 = 18 x 4 + 15

We consider the new divisor 18 and the new remainder 15,and apply the division lemma to get

18 = 15 x 1 + 3

We consider the new divisor 15 and the new remainder 3,and apply the division lemma to get

15 = 3 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 489 and 786 is 3

Notice that 3 = HCF(15,3) = HCF(18,15) = HCF(87,18) = HCF(105,87) = HCF(192,105) = HCF(297,192) = HCF(489,297) = HCF(786,489) .

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

Step 1: Since 563 > 3, we apply the division lemma to 563 and 3, to get

563 = 3 x 187 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 563 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(563,3) .

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

Step 1: Since 415 > 1, we apply the division lemma to 415 and 1, to get

415 = 1 x 415 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 415 is 1

Notice that 1 = HCF(415,1) .

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Frequently Asked Questions on HCF of 489, 786, 563, 415 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 489, 786, 563, 415?

Answer: HCF of 489, 786, 563, 415 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 489, 786, 563, 415 using Euclid's Algorithm?

Answer: For arbitrary numbers 489, 786, 563, 415 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.