Highest Common Factor of 1589, 9108, 67483 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 1589, 9108, 67483 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 1589, 9108, 67483 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 1589, 9108, 67483 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 1589, 9108, 67483 is 1.

HCF(1589, 9108, 67483) = 1

HCF of 1589, 9108, 67483 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 1589, 9108, 67483 is 1.

Highest Common Factor of 1589,9108,67483 using Euclid's algorithm

Highest Common Factor of 1589,9108,67483 is 1

Step 1: Since 9108 > 1589, we apply the division lemma to 9108 and 1589, to get

9108 = 1589 x 5 + 1163

Step 2: Since the reminder 1589 ≠ 0, we apply division lemma to 1163 and 1589, to get

1589 = 1163 x 1 + 426

Step 3: We consider the new divisor 1163 and the new remainder 426, and apply the division lemma to get

1163 = 426 x 2 + 311

We consider the new divisor 426 and the new remainder 311,and apply the division lemma to get

426 = 311 x 1 + 115

We consider the new divisor 311 and the new remainder 115,and apply the division lemma to get

311 = 115 x 2 + 81

We consider the new divisor 115 and the new remainder 81,and apply the division lemma to get

115 = 81 x 1 + 34

We consider the new divisor 81 and the new remainder 34,and apply the division lemma to get

81 = 34 x 2 + 13

We consider the new divisor 34 and the new remainder 13,and apply the division lemma to get

34 = 13 x 2 + 8

We consider the new divisor 13 and the new remainder 8,and apply the division lemma to get

13 = 8 x 1 + 5

We consider the new divisor 8 and the new remainder 5,and apply the division lemma to get

8 = 5 x 1 + 3

We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get

5 = 3 x 1 + 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 1589 and 9108 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(8,5) = HCF(13,8) = HCF(34,13) = HCF(81,34) = HCF(115,81) = HCF(311,115) = HCF(426,311) = HCF(1163,426) = HCF(1589,1163) = HCF(9108,1589) .

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

Step 1: Since 67483 > 1, we apply the division lemma to 67483 and 1, to get

67483 = 1 x 67483 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 67483 is 1

Notice that 1 = HCF(67483,1) .

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Frequently Asked Questions on HCF of 1589, 9108, 67483 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 1589, 9108, 67483?

Answer: HCF of 1589, 9108, 67483 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 1589, 9108, 67483 using Euclid's Algorithm?

Answer: For arbitrary numbers 1589, 9108, 67483 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.