Highest Common Factor of 487, 784 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 487, 784 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 487, 784 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 487, 784 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 487, 784 is 1.

HCF(487, 784) = 1

HCF of 487, 784 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 487, 784 is 1.

Highest Common Factor of 487,784 using Euclid's algorithm

Highest Common Factor of 487,784 is 1

Step 1: Since 784 > 487, we apply the division lemma to 784 and 487, to get

784 = 487 x 1 + 297

Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 297 and 487, to get

487 = 297 x 1 + 190

Step 3: We consider the new divisor 297 and the new remainder 190, and apply the division lemma to get

297 = 190 x 1 + 107

We consider the new divisor 190 and the new remainder 107,and apply the division lemma to get

190 = 107 x 1 + 83

We consider the new divisor 107 and the new remainder 83,and apply the division lemma to get

107 = 83 x 1 + 24

We consider the new divisor 83 and the new remainder 24,and apply the division lemma to get

83 = 24 x 3 + 11

We consider the new divisor 24 and the new remainder 11,and apply the division lemma to get

24 = 11 x 2 + 2

We consider the new divisor 11 and the new remainder 2,and apply the division lemma to get

11 = 2 x 5 + 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 487 and 784 is 1

Notice that 1 = HCF(2,1) = HCF(11,2) = HCF(24,11) = HCF(83,24) = HCF(107,83) = HCF(190,107) = HCF(297,190) = HCF(487,297) = HCF(784,487) .

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Frequently Asked Questions on HCF of 487, 784 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 487, 784?

Answer: HCF of 487, 784 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 487, 784 using Euclid's Algorithm?

Answer: For arbitrary numbers 487, 784 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.