Highest Common Factor of 809, 299, 516 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 809, 299, 516 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 809, 299, 516 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 809, 299, 516 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 809, 299, 516 is 1.

HCF(809, 299, 516) = 1

HCF of 809, 299, 516 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 809, 299, 516 is 1.

Highest Common Factor of 809,299,516 using Euclid's algorithm

Highest Common Factor of 809,299,516 is 1

Step 1: Since 809 > 299, we apply the division lemma to 809 and 299, to get

809 = 299 x 2 + 211

Step 2: Since the reminder 299 ≠ 0, we apply division lemma to 211 and 299, to get

299 = 211 x 1 + 88

Step 3: We consider the new divisor 211 and the new remainder 88, and apply the division lemma to get

211 = 88 x 2 + 35

We consider the new divisor 88 and the new remainder 35,and apply the division lemma to get

88 = 35 x 2 + 18

We consider the new divisor 35 and the new remainder 18,and apply the division lemma to get

35 = 18 x 1 + 17

We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get

18 = 17 x 1 + 1

We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get

17 = 1 x 17 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 809 and 299 is 1

Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(35,18) = HCF(88,35) = HCF(211,88) = HCF(299,211) = HCF(809,299) .

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

Step 1: Since 516 > 1, we apply the division lemma to 516 and 1, to get

516 = 1 x 516 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 516 is 1

Notice that 1 = HCF(516,1) .

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Frequently Asked Questions on HCF of 809, 299, 516 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 809, 299, 516?

Answer: HCF of 809, 299, 516 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 809, 299, 516 using Euclid's Algorithm?

Answer: For arbitrary numbers 809, 299, 516 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.