Highest Common Factor of 5684, 9019, 10395 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 5684, 9019, 10395 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 5684, 9019, 10395 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 5684, 9019, 10395 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 5684, 9019, 10395 is 1.

HCF(5684, 9019, 10395) = 1

HCF of 5684, 9019, 10395 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 5684, 9019, 10395 is 1.

Highest Common Factor of 5684,9019,10395 using Euclid's algorithm

Highest Common Factor of 5684,9019,10395 is 1

Step 1: Since 9019 > 5684, we apply the division lemma to 9019 and 5684, to get

9019 = 5684 x 1 + 3335

Step 2: Since the reminder 5684 ≠ 0, we apply division lemma to 3335 and 5684, to get

5684 = 3335 x 1 + 2349

Step 3: We consider the new divisor 3335 and the new remainder 2349, and apply the division lemma to get

3335 = 2349 x 1 + 986

We consider the new divisor 2349 and the new remainder 986,and apply the division lemma to get

2349 = 986 x 2 + 377

We consider the new divisor 986 and the new remainder 377,and apply the division lemma to get

986 = 377 x 2 + 232

We consider the new divisor 377 and the new remainder 232,and apply the division lemma to get

377 = 232 x 1 + 145

We consider the new divisor 232 and the new remainder 145,and apply the division lemma to get

232 = 145 x 1 + 87

We consider the new divisor 145 and the new remainder 87,and apply the division lemma to get

145 = 87 x 1 + 58

We consider the new divisor 87 and the new remainder 58,and apply the division lemma to get

87 = 58 x 1 + 29

We consider the new divisor 58 and the new remainder 29,and apply the division lemma to get

58 = 29 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 29, the HCF of 5684 and 9019 is 29

Notice that 29 = HCF(58,29) = HCF(87,58) = HCF(145,87) = HCF(232,145) = HCF(377,232) = HCF(986,377) = HCF(2349,986) = HCF(3335,2349) = HCF(5684,3335) = HCF(9019,5684) .

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

Step 1: Since 10395 > 29, we apply the division lemma to 10395 and 29, to get

10395 = 29 x 358 + 13

Step 2: Since the reminder 29 ≠ 0, we apply division lemma to 13 and 29, to get

29 = 13 x 2 + 3

Step 3: We consider the new divisor 13 and the new remainder 3, and apply the division lemma to get

13 = 3 x 4 + 1

We consider the new divisor 3 and the new remainder 1, and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 29 and 10395 is 1

Notice that 1 = HCF(3,1) = HCF(13,3) = HCF(29,13) = HCF(10395,29) .

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Frequently Asked Questions on HCF of 5684, 9019, 10395 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 5684, 9019, 10395?

Answer: HCF of 5684, 9019, 10395 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 5684, 9019, 10395 using Euclid's Algorithm?

Answer: For arbitrary numbers 5684, 9019, 10395 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.