Highest Common Factor of 9139, 2489, 29597 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 9139, 2489, 29597 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 9139, 2489, 29597 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 9139, 2489, 29597 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 9139, 2489, 29597 is 1.

HCF(9139, 2489, 29597) = 1

HCF of 9139, 2489, 29597 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 9139, 2489, 29597 is 1.

Highest Common Factor of 9139,2489,29597 using Euclid's algorithm

Highest Common Factor of 9139,2489,29597 is 1

Step 1: Since 9139 > 2489, we apply the division lemma to 9139 and 2489, to get

9139 = 2489 x 3 + 1672

Step 2: Since the reminder 2489 ≠ 0, we apply division lemma to 1672 and 2489, to get

2489 = 1672 x 1 + 817

Step 3: We consider the new divisor 1672 and the new remainder 817, and apply the division lemma to get

1672 = 817 x 2 + 38

We consider the new divisor 817 and the new remainder 38,and apply the division lemma to get

817 = 38 x 21 + 19

We consider the new divisor 38 and the new remainder 19,and apply the division lemma to get

38 = 19 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 9139 and 2489 is 19

Notice that 19 = HCF(38,19) = HCF(817,38) = HCF(1672,817) = HCF(2489,1672) = HCF(9139,2489) .

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

Step 1: Since 29597 > 19, we apply the division lemma to 29597 and 19, to get

29597 = 19 x 1557 + 14

Step 2: Since the reminder 19 ≠ 0, we apply division lemma to 14 and 19, to get

19 = 14 x 1 + 5

Step 3: We consider the new divisor 14 and the new remainder 5, and apply the division lemma to get

14 = 5 x 2 + 4

We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get

5 = 4 x 1 + 1

We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get

4 = 1 x 4 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 19 and 29597 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(14,5) = HCF(19,14) = HCF(29597,19) .

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Frequently Asked Questions on HCF of 9139, 2489, 29597 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 9139, 2489, 29597?

Answer: HCF of 9139, 2489, 29597 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 9139, 2489, 29597 using Euclid's Algorithm?

Answer: For arbitrary numbers 9139, 2489, 29597 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.