Highest Common Factor of 813, 506, 328 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, 506, 328 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 813, 506, 328 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, 506, 328 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, 506, 328 is 1.

HCF(813, 506, 328) = 1

HCF of 813, 506, 328 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, 506, 328 is 1.

Highest Common Factor of 813,506,328 using Euclid's algorithm

Highest Common Factor of 813,506,328 is 1

Step 1: Since 813 > 506, we apply the division lemma to 813 and 506, to get

813 = 506 x 1 + 307

Step 2: Since the reminder 506 ≠ 0, we apply division lemma to 307 and 506, to get

506 = 307 x 1 + 199

Step 3: We consider the new divisor 307 and the new remainder 199, and apply the division lemma to get

307 = 199 x 1 + 108

We consider the new divisor 199 and the new remainder 108,and apply the division lemma to get

199 = 108 x 1 + 91

We consider the new divisor 108 and the new remainder 91,and apply the division lemma to get

108 = 91 x 1 + 17

We consider the new divisor 91 and the new remainder 17,and apply the division lemma to get

91 = 17 x 5 + 6

We consider the new divisor 17 and the new remainder 6,and apply the division lemma to get

17 = 6 x 2 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 813 and 506 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(17,6) = HCF(91,17) = HCF(108,91) = HCF(199,108) = HCF(307,199) = HCF(506,307) = HCF(813,506) .

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

Step 1: Since 328 > 1, we apply the division lemma to 328 and 1, to get

328 = 1 x 328 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 328 is 1

Notice that 1 = HCF(328,1) .

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Frequently Asked Questions on HCF of 813, 506, 328 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, 506, 328?

Answer: HCF of 813, 506, 328 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 813, 506, 328 using Euclid's Algorithm?

Answer: For arbitrary numbers 813, 506, 328 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.