Highest Common Factor of 386, 244, 843 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, 244, 843 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 386, 244, 843 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, 244, 843 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, 244, 843 is 1.

HCF(386, 244, 843) = 1

HCF of 386, 244, 843 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, 244, 843 is 1.

Highest Common Factor of 386,244,843 using Euclid's algorithm

Highest Common Factor of 386,244,843 is 1

Step 1: Since 386 > 244, we apply the division lemma to 386 and 244, to get

386 = 244 x 1 + 142

Step 2: Since the reminder 244 ≠ 0, we apply division lemma to 142 and 244, to get

244 = 142 x 1 + 102

Step 3: We consider the new divisor 142 and the new remainder 102, and apply the division lemma to get

142 = 102 x 1 + 40

We consider the new divisor 102 and the new remainder 40,and apply the division lemma to get

102 = 40 x 2 + 22

We consider the new divisor 40 and the new remainder 22,and apply the division lemma to get

40 = 22 x 1 + 18

We consider the new divisor 22 and the new remainder 18,and apply the division lemma to get

22 = 18 x 1 + 4

We consider the new divisor 18 and the new remainder 4,and apply the division lemma to get

18 = 4 x 4 + 2

We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get

4 = 2 x 2 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 386 and 244 is 2

Notice that 2 = HCF(4,2) = HCF(18,4) = HCF(22,18) = HCF(40,22) = HCF(102,40) = HCF(142,102) = HCF(244,142) = HCF(386,244) .

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

Step 1: Since 843 > 2, we apply the division lemma to 843 and 2, to get

843 = 2 x 421 + 1

Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 843 is 1

Notice that 1 = HCF(2,1) = HCF(843,2) .

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Frequently Asked Questions on HCF of 386, 244, 843 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, 244, 843?

Answer: HCF of 386, 244, 843 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 386, 244, 843 using Euclid's Algorithm?

Answer: For arbitrary numbers 386, 244, 843 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.