Highest Common Factor of 6747, 4081 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 6747, 4081 i.e. 1 the largest integer that leaves a remainder zero for all numbers.

HCF of 6747, 4081 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 6747, 4081 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 6747, 4081 is 1.

HCF(6747, 4081) = 1

HCF of 6747, 4081 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 6747, 4081 is 1.

Highest Common Factor of 6747,4081 using Euclid's algorithm

Highest Common Factor of 6747,4081 is 1

Step 1: Since 6747 > 4081, we apply the division lemma to 6747 and 4081, to get

6747 = 4081 x 1 + 2666

Step 2: Since the reminder 4081 ≠ 0, we apply division lemma to 2666 and 4081, to get

4081 = 2666 x 1 + 1415

Step 3: We consider the new divisor 2666 and the new remainder 1415, and apply the division lemma to get

2666 = 1415 x 1 + 1251

We consider the new divisor 1415 and the new remainder 1251,and apply the division lemma to get

1415 = 1251 x 1 + 164

We consider the new divisor 1251 and the new remainder 164,and apply the division lemma to get

1251 = 164 x 7 + 103

We consider the new divisor 164 and the new remainder 103,and apply the division lemma to get

164 = 103 x 1 + 61

We consider the new divisor 103 and the new remainder 61,and apply the division lemma to get

103 = 61 x 1 + 42

We consider the new divisor 61 and the new remainder 42,and apply the division lemma to get

61 = 42 x 1 + 19

We consider the new divisor 42 and the new remainder 19,and apply the division lemma to get

42 = 19 x 2 + 4

We consider the new divisor 19 and the new remainder 4,and apply the division lemma to get

19 = 4 x 4 + 3

We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get

4 = 3 x 1 + 1

We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get

3 = 1 x 3 + 0

The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6747 and 4081 is 1

Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(19,4) = HCF(42,19) = HCF(61,42) = HCF(103,61) = HCF(164,103) = HCF(1251,164) = HCF(1415,1251) = HCF(2666,1415) = HCF(4081,2666) = HCF(6747,4081) .

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Frequently Asked Questions on HCF of 6747, 4081 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 6747, 4081?

Answer: HCF of 6747, 4081 is 1 the largest number that divides all the numbers leaving a remainder zero.

3. How to find HCF of 6747, 4081 using Euclid's Algorithm?

Answer: For arbitrary numbers 6747, 4081 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.