Highest Common Factor of 566, 963, 30 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 566, 963, 30 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 566, 963, 30 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 566, 963, 30 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 566, 963, 30 is 1.

HCF(566, 963, 30) = 1

HCF of 566, 963, 30 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 566, 963, 30 is 1.

Highest Common Factor of 566,963,30 using Euclid's algorithm

Highest Common Factor of 566,963,30 is 1

Step 1: Since 963 > 566, we apply the division lemma to 963 and 566, to get

963 = 566 x 1 + 397

Step 2: Since the reminder 566 ≠ 0, we apply division lemma to 397 and 566, to get

566 = 397 x 1 + 169

Step 3: We consider the new divisor 397 and the new remainder 169, and apply the division lemma to get

397 = 169 x 2 + 59

We consider the new divisor 169 and the new remainder 59,and apply the division lemma to get

169 = 59 x 2 + 51

We consider the new divisor 59 and the new remainder 51,and apply the division lemma to get

59 = 51 x 1 + 8

We consider the new divisor 51 and the new remainder 8,and apply the division lemma to get

51 = 8 x 6 + 3

We consider the new divisor 8 and the new remainder 3,and apply the division lemma to get

8 = 3 x 2 + 2

We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get

3 = 2 x 1 + 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 566 and 963 is 1

Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(8,3) = HCF(51,8) = HCF(59,51) = HCF(169,59) = HCF(397,169) = HCF(566,397) = HCF(963,566) .

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

Step 1: Since 30 > 1, we apply the division lemma to 30 and 1, to get

30 = 1 x 30 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 30 is 1

Notice that 1 = HCF(30,1) .

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Frequently Asked Questions on HCF of 566, 963, 30 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 566, 963, 30?

Answer: HCF of 566, 963, 30 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 566, 963, 30 using Euclid's Algorithm?

Answer: For arbitrary numbers 566, 963, 30 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.