Highest Common Factor of 813, 497, 289 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 813, 497, 289 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 813, 497, 289 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 813, 497, 289 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 813, 497, 289 is 1.

HCF(813, 497, 289) = 1

HCF of 813, 497, 289 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 813, 497, 289 is 1.

Highest Common Factor of 813,497,289 using Euclid's algorithm

Highest Common Factor of 813,497,289 is 1

Step 1: Since 813 > 497, we apply the division lemma to 813 and 497, to get

813 = 497 x 1 + 316

Step 2: Since the reminder 497 ≠ 0, we apply division lemma to 316 and 497, to get

497 = 316 x 1 + 181

Step 3: We consider the new divisor 316 and the new remainder 181, and apply the division lemma to get

316 = 181 x 1 + 135

We consider the new divisor 181 and the new remainder 135,and apply the division lemma to get

181 = 135 x 1 + 46

We consider the new divisor 135 and the new remainder 46,and apply the division lemma to get

135 = 46 x 2 + 43

We consider the new divisor 46 and the new remainder 43,and apply the division lemma to get

46 = 43 x 1 + 3

We consider the new divisor 43 and the new remainder 3,and apply the division lemma to get

43 = 3 x 14 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 813 and 497 is 1

Notice that 1 = HCF(3,1) = HCF(43,3) = HCF(46,43) = HCF(135,46) = HCF(181,135) = HCF(316,181) = HCF(497,316) = HCF(813,497) .

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

Step 1: Since 289 > 1, we apply the division lemma to 289 and 1, to get

289 = 1 x 289 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 289 is 1

Notice that 1 = HCF(289,1) .

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Frequently Asked Questions on HCF of 813, 497, 289 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 813, 497, 289?

Answer: HCF of 813, 497, 289 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 813, 497, 289 using Euclid's Algorithm?

Answer: For arbitrary numbers 813, 497, 289 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.