Highest Common Factor of 9013, 3187, 18479 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 9013, 3187, 18479 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9013, 3187, 18479 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 9013, 3187, 18479 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 9013, 3187, 18479 is 1.

HCF(9013, 3187, 18479) = 1

HCF of 9013, 3187, 18479 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 9013, 3187, 18479 is 1.

Highest Common Factor of 9013,3187,18479 using Euclid's algorithm

Highest Common Factor of 9013,3187,18479 is 1

Step 1: Since 9013 > 3187, we apply the division lemma to 9013 and 3187, to get

9013 = 3187 x 2 + 2639

Step 2: Since the reminder 3187 ≠ 0, we apply division lemma to 2639 and 3187, to get

3187 = 2639 x 1 + 548

Step 3: We consider the new divisor 2639 and the new remainder 548, and apply the division lemma to get

2639 = 548 x 4 + 447

We consider the new divisor 548 and the new remainder 447,and apply the division lemma to get

548 = 447 x 1 + 101

We consider the new divisor 447 and the new remainder 101,and apply the division lemma to get

447 = 101 x 4 + 43

We consider the new divisor 101 and the new remainder 43,and apply the division lemma to get

101 = 43 x 2 + 15

We consider the new divisor 43 and the new remainder 15,and apply the division lemma to get

43 = 15 x 2 + 13

We consider the new divisor 15 and the new remainder 13,and apply the division lemma to get

15 = 13 x 1 + 2

We consider the new divisor 13 and the new remainder 2,and apply the division lemma to get

13 = 2 x 6 + 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 9013 and 3187 is 1

Notice that 1 = HCF(2,1) = HCF(13,2) = HCF(15,13) = HCF(43,15) = HCF(101,43) = HCF(447,101) = HCF(548,447) = HCF(2639,548) = HCF(3187,2639) = HCF(9013,3187) .

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

Step 1: Since 18479 > 1, we apply the division lemma to 18479 and 1, to get

18479 = 1 x 18479 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 18479 is 1

Notice that 1 = HCF(18479,1) .

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Frequently Asked Questions on HCF of 9013, 3187, 18479 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 9013, 3187, 18479?

Answer: HCF of 9013, 3187, 18479 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9013, 3187, 18479 using Euclid's Algorithm?

Answer: For arbitrary numbers 9013, 3187, 18479 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.