Highest Common Factor of 811, 597, 449 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 811, 597, 449 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 811, 597, 449 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 811, 597, 449 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 811, 597, 449 is 1.

HCF(811, 597, 449) = 1

HCF of 811, 597, 449 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 811, 597, 449 is 1.

Highest Common Factor of 811,597,449 using Euclid's algorithm

Highest Common Factor of 811,597,449 is 1

Step 1: Since 811 > 597, we apply the division lemma to 811 and 597, to get

811 = 597 x 1 + 214

Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 214 and 597, to get

597 = 214 x 2 + 169

Step 3: We consider the new divisor 214 and the new remainder 169, and apply the division lemma to get

214 = 169 x 1 + 45

We consider the new divisor 169 and the new remainder 45,and apply the division lemma to get

169 = 45 x 3 + 34

We consider the new divisor 45 and the new remainder 34,and apply the division lemma to get

45 = 34 x 1 + 11

We consider the new divisor 34 and the new remainder 11,and apply the division lemma to get

34 = 11 x 3 + 1

We consider the new divisor 11 and the new remainder 1,and apply the division lemma to get

11 = 1 x 11 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 811 and 597 is 1

Notice that 1 = HCF(11,1) = HCF(34,11) = HCF(45,34) = HCF(169,45) = HCF(214,169) = HCF(597,214) = HCF(811,597) .

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

Step 1: Since 449 > 1, we apply the division lemma to 449 and 1, to get

449 = 1 x 449 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 449 is 1

Notice that 1 = HCF(449,1) .

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Frequently Asked Questions on HCF of 811, 597, 449 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 811, 597, 449?

Answer: HCF of 811, 597, 449 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 811, 597, 449 using Euclid's Algorithm?

Answer: For arbitrary numbers 811, 597, 449 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.