Highest Common Factor of 8895, 5795, 89369 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 8895, 5795, 89369 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8895, 5795, 89369 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 8895, 5795, 89369 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 8895, 5795, 89369 is 1.

HCF(8895, 5795, 89369) = 1

HCF of 8895, 5795, 89369 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 8895, 5795, 89369 is 1.

Highest Common Factor of 8895,5795,89369 using Euclid's algorithm

Highest Common Factor of 8895,5795,89369 is 1

Step 1: Since 8895 > 5795, we apply the division lemma to 8895 and 5795, to get

8895 = 5795 x 1 + 3100

Step 2: Since the reminder 5795 ≠ 0, we apply division lemma to 3100 and 5795, to get

5795 = 3100 x 1 + 2695

Step 3: We consider the new divisor 3100 and the new remainder 2695, and apply the division lemma to get

3100 = 2695 x 1 + 405

We consider the new divisor 2695 and the new remainder 405,and apply the division lemma to get

2695 = 405 x 6 + 265

We consider the new divisor 405 and the new remainder 265,and apply the division lemma to get

405 = 265 x 1 + 140

We consider the new divisor 265 and the new remainder 140,and apply the division lemma to get

265 = 140 x 1 + 125

We consider the new divisor 140 and the new remainder 125,and apply the division lemma to get

140 = 125 x 1 + 15

We consider the new divisor 125 and the new remainder 15,and apply the division lemma to get

125 = 15 x 8 + 5

We consider the new divisor 15 and the new remainder 5,and apply the division lemma to get

15 = 5 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 5, the HCF of 8895 and 5795 is 5

Notice that 5 = HCF(15,5) = HCF(125,15) = HCF(140,125) = HCF(265,140) = HCF(405,265) = HCF(2695,405) = HCF(3100,2695) = HCF(5795,3100) = HCF(8895,5795) .

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

Step 1: Since 89369 > 5, we apply the division lemma to 89369 and 5, to get

89369 = 5 x 17873 + 4

Step 2: Since the reminder 5 ≠ 0, we apply division lemma to 4 and 5, to get

5 = 4 x 1 + 1

Step 3: 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 5 and 89369 is 1

Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(89369,5) .

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Frequently Asked Questions on HCF of 8895, 5795, 89369 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 8895, 5795, 89369?

Answer: HCF of 8895, 5795, 89369 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8895, 5795, 89369 using Euclid's Algorithm?

Answer: For arbitrary numbers 8895, 5795, 89369 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.