Highest Common Factor of 589, 385, 19 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 589, 385, 19 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 589, 385, 19 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 589, 385, 19 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 589, 385, 19 is 1.

HCF(589, 385, 19) = 1

HCF of 589, 385, 19 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 589, 385, 19 is 1.

Highest Common Factor of 589,385,19 using Euclid's algorithm

Highest Common Factor of 589,385,19 is 1

Step 1: Since 589 > 385, we apply the division lemma to 589 and 385, to get

589 = 385 x 1 + 204

Step 2: Since the reminder 385 ≠ 0, we apply division lemma to 204 and 385, to get

385 = 204 x 1 + 181

Step 3: We consider the new divisor 204 and the new remainder 181, and apply the division lemma to get

204 = 181 x 1 + 23

We consider the new divisor 181 and the new remainder 23,and apply the division lemma to get

181 = 23 x 7 + 20

We consider the new divisor 23 and the new remainder 20,and apply the division lemma to get

23 = 20 x 1 + 3

We consider the new divisor 20 and the new remainder 3,and apply the division lemma to get

20 = 3 x 6 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 1

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 589 and 385 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(20,3) = HCF(23,20) = HCF(181,23) = HCF(204,181) = HCF(385,204) = HCF(589,385) .

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

Step 1: Since 19 > 1, we apply the division lemma to 19 and 1, to get

19 = 1 x 19 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 19 is 1

Notice that 1 = HCF(19,1) .

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Frequently Asked Questions on HCF of 589, 385, 19 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 589, 385, 19?

Answer: HCF of 589, 385, 19 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 589, 385, 19 using Euclid's Algorithm?

Answer: For arbitrary numbers 589, 385, 19 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.