Highest Common Factor of 386, 613, 963 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 386, 613, 963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 386, 613, 963 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 386, 613, 963 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 386, 613, 963 is 1.

HCF(386, 613, 963) = 1

HCF of 386, 613, 963 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 386, 613, 963 is 1.

Highest Common Factor of 386,613,963 using Euclid's algorithm

Highest Common Factor of 386,613,963 is 1

Step 1: Since 613 > 386, we apply the division lemma to 613 and 386, to get

613 = 386 x 1 + 227

Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 227 and 386, to get

386 = 227 x 1 + 159

Step 3: We consider the new divisor 227 and the new remainder 159, and apply the division lemma to get

227 = 159 x 1 + 68

We consider the new divisor 159 and the new remainder 68,and apply the division lemma to get

159 = 68 x 2 + 23

We consider the new divisor 68 and the new remainder 23,and apply the division lemma to get

68 = 23 x 2 + 22

We consider the new divisor 23 and the new remainder 22,and apply the division lemma to get

23 = 22 x 1 + 1

We consider the new divisor 22 and the new remainder 1,and apply the division lemma to get

22 = 1 x 22 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 386 and 613 is 1

Notice that 1 = HCF(22,1) = HCF(23,22) = HCF(68,23) = HCF(159,68) = HCF(227,159) = HCF(386,227) = HCF(613,386) .

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

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

963 = 1 x 963 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 963 is 1

Notice that 1 = HCF(963,1) .

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Frequently Asked Questions on HCF of 386, 613, 963 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 386, 613, 963?

Answer: HCF of 386, 613, 963 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 386, 613, 963 using Euclid's Algorithm?

Answer: For arbitrary numbers 386, 613, 963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.