Highest Common Factor of 328, 531, 813 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 328, 531, 813 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 328, 531, 813 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 328, 531, 813 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 328, 531, 813 is 1.

HCF(328, 531, 813) = 1

HCF of 328, 531, 813 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 328, 531, 813 is 1.

Highest Common Factor of 328,531,813 using Euclid's algorithm

Highest Common Factor of 328,531,813 is 1

Step 1: Since 531 > 328, we apply the division lemma to 531 and 328, to get

531 = 328 x 1 + 203

Step 2: Since the reminder 328 ≠ 0, we apply division lemma to 203 and 328, to get

328 = 203 x 1 + 125

Step 3: We consider the new divisor 203 and the new remainder 125, and apply the division lemma to get

203 = 125 x 1 + 78

We consider the new divisor 125 and the new remainder 78,and apply the division lemma to get

125 = 78 x 1 + 47

We consider the new divisor 78 and the new remainder 47,and apply the division lemma to get

78 = 47 x 1 + 31

We consider the new divisor 47 and the new remainder 31,and apply the division lemma to get

47 = 31 x 1 + 16

We consider the new divisor 31 and the new remainder 16,and apply the division lemma to get

31 = 16 x 1 + 15

We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get

16 = 15 x 1 + 1

We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get

15 = 1 x 15 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 328 and 531 is 1

Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(31,16) = HCF(47,31) = HCF(78,47) = HCF(125,78) = HCF(203,125) = HCF(328,203) = HCF(531,328) .

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

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

813 = 1 x 813 + 0

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

Notice that 1 = HCF(813,1) .

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Frequently Asked Questions on HCF of 328, 531, 813 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 328, 531, 813?

Answer: HCF of 328, 531, 813 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 328, 531, 813 using Euclid's Algorithm?

Answer: For arbitrary numbers 328, 531, 813 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.