Highest Common Factor of 3814, 6717 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 3814, 6717 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 3814, 6717 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 3814, 6717 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 3814, 6717 is 1.

HCF(3814, 6717) = 1

HCF of 3814, 6717 using Euclid's algorithm

Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.

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Highest common factor (HCF) of 3814, 6717 is 1.

Highest Common Factor of 3814,6717 using Euclid's algorithm

Highest Common Factor of 3814,6717 is 1

Step 1: Since 6717 > 3814, we apply the division lemma to 6717 and 3814, to get

6717 = 3814 x 1 + 2903

Step 2: Since the reminder 3814 ≠ 0, we apply division lemma to 2903 and 3814, to get

3814 = 2903 x 1 + 911

Step 3: We consider the new divisor 2903 and the new remainder 911, and apply the division lemma to get

2903 = 911 x 3 + 170

We consider the new divisor 911 and the new remainder 170,and apply the division lemma to get

911 = 170 x 5 + 61

We consider the new divisor 170 and the new remainder 61,and apply the division lemma to get

170 = 61 x 2 + 48

We consider the new divisor 61 and the new remainder 48,and apply the division lemma to get

61 = 48 x 1 + 13

We consider the new divisor 48 and the new remainder 13,and apply the division lemma to get

48 = 13 x 3 + 9

We consider the new divisor 13 and the new remainder 9,and apply the division lemma to get

13 = 9 x 1 + 4

We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get

9 = 4 x 2 + 1

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 3814 and 6717 is 1

Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(13,9) = HCF(48,13) = HCF(61,48) = HCF(170,61) = HCF(911,170) = HCF(2903,911) = HCF(3814,2903) = HCF(6717,3814) .

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Frequently Asked Questions on HCF of 3814, 6717 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 3814, 6717?

Answer: HCF of 3814, 6717 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 3814, 6717 using Euclid's Algorithm?

Answer: For arbitrary numbers 3814, 6717 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.