Highest Common Factor of 498, 813, 893 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 498, 813, 893 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 498, 813, 893 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 498, 813, 893 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 498, 813, 893 is 1.

HCF(498, 813, 893) = 1

HCF of 498, 813, 893 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 498, 813, 893 is 1.

Highest Common Factor of 498,813,893 using Euclid's algorithm

Highest Common Factor of 498,813,893 is 1

Step 1: Since 813 > 498, we apply the division lemma to 813 and 498, to get

813 = 498 x 1 + 315

Step 2: Since the reminder 498 ≠ 0, we apply division lemma to 315 and 498, to get

498 = 315 x 1 + 183

Step 3: We consider the new divisor 315 and the new remainder 183, and apply the division lemma to get

315 = 183 x 1 + 132

We consider the new divisor 183 and the new remainder 132,and apply the division lemma to get

183 = 132 x 1 + 51

We consider the new divisor 132 and the new remainder 51,and apply the division lemma to get

132 = 51 x 2 + 30

We consider the new divisor 51 and the new remainder 30,and apply the division lemma to get

51 = 30 x 1 + 21

We consider the new divisor 30 and the new remainder 21,and apply the division lemma to get

30 = 21 x 1 + 9

We consider the new divisor 21 and the new remainder 9,and apply the division lemma to get

21 = 9 x 2 + 3

We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get

9 = 3 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 498 and 813 is 3

Notice that 3 = HCF(9,3) = HCF(21,9) = HCF(30,21) = HCF(51,30) = HCF(132,51) = HCF(183,132) = HCF(315,183) = HCF(498,315) = HCF(813,498) .

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

Step 1: Since 893 > 3, we apply the division lemma to 893 and 3, to get

893 = 3 x 297 + 2

Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get

3 = 2 x 1 + 1

Step 3: 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 3 and 893 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(893,3) .

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Frequently Asked Questions on HCF of 498, 813, 893 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 498, 813, 893?

Answer: HCF of 498, 813, 893 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 498, 813, 893 using Euclid's Algorithm?

Answer: For arbitrary numbers 498, 813, 893 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.