Highest Common Factor of 329, 803, 85 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 329, 803, 85 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 329, 803, 85 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 329, 803, 85 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 329, 803, 85 is 1.

HCF(329, 803, 85) = 1

HCF of 329, 803, 85 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 329, 803, 85 is 1.

Highest Common Factor of 329,803,85 using Euclid's algorithm

Highest Common Factor of 329,803,85 is 1

Step 1: Since 803 > 329, we apply the division lemma to 803 and 329, to get

803 = 329 x 2 + 145

Step 2: Since the reminder 329 ≠ 0, we apply division lemma to 145 and 329, to get

329 = 145 x 2 + 39

Step 3: We consider the new divisor 145 and the new remainder 39, and apply the division lemma to get

145 = 39 x 3 + 28

We consider the new divisor 39 and the new remainder 28,and apply the division lemma to get

39 = 28 x 1 + 11

We consider the new divisor 28 and the new remainder 11,and apply the division lemma to get

28 = 11 x 2 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 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 329 and 803 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(28,11) = HCF(39,28) = HCF(145,39) = HCF(329,145) = HCF(803,329) .

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

Step 1: Since 85 > 1, we apply the division lemma to 85 and 1, to get

85 = 1 x 85 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 85 is 1

Notice that 1 = HCF(85,1) .

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Frequently Asked Questions on HCF of 329, 803, 85 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 329, 803, 85?

Answer: HCF of 329, 803, 85 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 329, 803, 85 using Euclid's Algorithm?

Answer: For arbitrary numbers 329, 803, 85 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.