Highest Common Factor of 587, 84297 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 587, 84297 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 587, 84297 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 587, 84297 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 587, 84297 is 1.

HCF(587, 84297) = 1

HCF of 587, 84297 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 587, 84297 is 1.

Highest Common Factor of 587,84297 using Euclid's algorithm

Highest Common Factor of 587,84297 is 1

Step 1: Since 84297 > 587, we apply the division lemma to 84297 and 587, to get

84297 = 587 x 143 + 356

Step 2: Since the reminder 587 ≠ 0, we apply division lemma to 356 and 587, to get

587 = 356 x 1 + 231

Step 3: We consider the new divisor 356 and the new remainder 231, and apply the division lemma to get

356 = 231 x 1 + 125

We consider the new divisor 231 and the new remainder 125,and apply the division lemma to get

231 = 125 x 1 + 106

We consider the new divisor 125 and the new remainder 106,and apply the division lemma to get

125 = 106 x 1 + 19

We consider the new divisor 106 and the new remainder 19,and apply the division lemma to get

106 = 19 x 5 + 11

We consider the new divisor 19 and the new remainder 11,and apply the division lemma to get

19 = 11 x 1 + 8

We consider the new divisor 11 and the new remainder 8,and apply the division lemma to get

11 = 8 x 1 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 587 and 84297 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(11,8) = HCF(19,11) = HCF(106,19) = HCF(125,106) = HCF(231,125) = HCF(356,231) = HCF(587,356) = HCF(84297,587) .

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Frequently Asked Questions on HCF of 587, 84297 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 587, 84297?

Answer: HCF of 587, 84297 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 587, 84297 using Euclid's Algorithm?

Answer: For arbitrary numbers 587, 84297 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.