Highest Common Factor of 8563, 1792, 59005 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 8563, 1792, 59005 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 8563, 1792, 59005 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 8563, 1792, 59005 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 8563, 1792, 59005 is 1.

HCF(8563, 1792, 59005) = 1

HCF of 8563, 1792, 59005 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 8563, 1792, 59005 is 1.

Highest Common Factor of 8563,1792,59005 using Euclid's algorithm

Highest Common Factor of 8563,1792,59005 is 1

Step 1: Since 8563 > 1792, we apply the division lemma to 8563 and 1792, to get

8563 = 1792 x 4 + 1395

Step 2: Since the reminder 1792 ≠ 0, we apply division lemma to 1395 and 1792, to get

1792 = 1395 x 1 + 397

Step 3: We consider the new divisor 1395 and the new remainder 397, and apply the division lemma to get

1395 = 397 x 3 + 204

We consider the new divisor 397 and the new remainder 204,and apply the division lemma to get

397 = 204 x 1 + 193

We consider the new divisor 204 and the new remainder 193,and apply the division lemma to get

204 = 193 x 1 + 11

We consider the new divisor 193 and the new remainder 11,and apply the division lemma to get

193 = 11 x 17 + 6

We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get

11 = 6 x 1 + 5

We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get

6 = 5 x 1 + 1

We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get

5 = 1 x 5 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8563 and 1792 is 1

Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(193,11) = HCF(204,193) = HCF(397,204) = HCF(1395,397) = HCF(1792,1395) = HCF(8563,1792) .

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

Step 1: Since 59005 > 1, we apply the division lemma to 59005 and 1, to get

59005 = 1 x 59005 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 59005 is 1

Notice that 1 = HCF(59005,1) .

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Frequently Asked Questions on HCF of 8563, 1792, 59005 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 8563, 1792, 59005?

Answer: HCF of 8563, 1792, 59005 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 8563, 1792, 59005 using Euclid's Algorithm?

Answer: For arbitrary numbers 8563, 1792, 59005 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.