Highest Common Factor of 514, 809 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 514, 809 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 514, 809 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 514, 809 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 514, 809 is 1.

HCF(514, 809) = 1

HCF of 514, 809 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 514, 809 is 1.

Highest Common Factor of 514,809 using Euclid's algorithm

Highest Common Factor of 514,809 is 1

Step 1: Since 809 > 514, we apply the division lemma to 809 and 514, to get

809 = 514 x 1 + 295

Step 2: Since the reminder 514 ≠ 0, we apply division lemma to 295 and 514, to get

514 = 295 x 1 + 219

Step 3: We consider the new divisor 295 and the new remainder 219, and apply the division lemma to get

295 = 219 x 1 + 76

We consider the new divisor 219 and the new remainder 76,and apply the division lemma to get

219 = 76 x 2 + 67

We consider the new divisor 76 and the new remainder 67,and apply the division lemma to get

76 = 67 x 1 + 9

We consider the new divisor 67 and the new remainder 9,and apply the division lemma to get

67 = 9 x 7 + 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 514 and 809 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(67,9) = HCF(76,67) = HCF(219,76) = HCF(295,219) = HCF(514,295) = HCF(809,514) .

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Frequently Asked Questions on HCF of 514, 809 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 514, 809?

Answer: HCF of 514, 809 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 514, 809 using Euclid's Algorithm?

Answer: For arbitrary numbers 514, 809 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.